Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10950w |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
168381914062500 = 22 · 310 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27813,1661031] |
[a1,a2,a3,a4,a6] |
Generators |
[-1530:2161:8] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
6.1008282087623 |
L(r)(E,1)/r! |
Ω |
0.56150859023864 |
Real period |
R |
5.4325332816097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600ck1 32850v1 2190f1 |
Quadratic twists by: -4 -3 5 |