Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245t |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
29928802640625 = 35 · 56 · 76 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14579,623081] |
[a1,a2,a3,a4,a6] |
Generators |
[174:4409:8] |
Generators of the group modulo torsion |
j |
2912566550041/254390625 |
j-invariant |
L |
7.4269931307073 |
L(r)(E,1)/r! |
Ω |
0.64506023360318 |
Real period |
R |
2.3027285651101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1005a1 |
Quadratic twists by: -7 |