Atkin-Lehner |
3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50025c |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51367680 |
Modular degree for the optimal curve |
Δ |
1.0080466501768E+30 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 -4 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2605193533,16913745257718] |
[a1,a2,a3,a4,a6] |
Generators |
[-4033311923727054708764027455298832858846933848417815258404:408753024751374813895355883142914856456788742058597516220111:81648883444200417016413953526432249663859668096943103] |
Generators of the group modulo torsion |
j |
125147927114815865709295304704/64514985611316331088611125 |
j-invariant |
L |
4.4434092830838 |
L(r)(E,1)/r! |
Ω |
0.024452648380183 |
Real period |
R |
90.857423989396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10005m1 |
Quadratic twists by: 5 |