Atkin-Lehner |
3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50025b |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-7.0294350366237E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -4 5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-264942783,-1659790506157] |
[a1,a2,a3,a4,a6] |
Generators |
[368157060959902187751:3726397032447789292523531:3593528860013] |
Generators of the group modulo torsion |
j |
-131631542171643599790505984/44988384234391875 |
j-invariant |
L |
2.5791115461074 |
L(r)(E,1)/r! |
Ω |
0.018710333409556 |
Real period |
R |
34.461058090903 |
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 |
10005l1 |
Quadratic twists by: 5 |