Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664s |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
17517676331008 = 221 · 76 · 71 |
Discriminant |
Eigenvalues |
2- -3 4 7- 0 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9163,270970] |
[a1,a2,a3,a4,a6] |
Generators |
[15:370:1] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
4.9742661293652 |
L(r)(E,1)/r! |
Ω |
0.65469732175844 |
Real period |
R |
3.7989052071064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958p1 1136c1 |
Quadratic twists by: -4 -7 |