Atkin-Lehner |
2- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62480q |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-22180400 = -1 · 24 · 52 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[1137:38340:1] |
Generators of the group modulo torsion |
j |
2173353984/1386275 |
j-invariant |
L |
5.0471844065316 |
L(r)(E,1)/r! |
Ω |
1.2300056563156 |
Real period |
R |
4.103383086324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15620b1 |
Quadratic twists by: -4 |