Atkin-Lehner |
2+ 3+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238d |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
1666284048 = 24 · 39 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3012,-62848] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:19:1] |
Generators of the group modulo torsion |
j |
153560113875/84656 |
j-invariant |
L |
6.0213044965349 |
L(r)(E,1)/r! |
Ω |
0.64445622720053 |
Real period |
R |
2.3358081770124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999971093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238br1 |
Quadratic twists by: -3 |