Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258g |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-8901253627552 = -1 · 25 · 11 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 0 4 3 11- 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3940,-108432] |
[a1,a2,a3,a4,a6] |
Generators |
[57083:201586:2197] |
Generators of the group modulo torsion |
j |
1401168159/1844128 |
j-invariant |
L |
7.3940032475979 |
L(r)(E,1)/r! |
Ω |
0.39049697135548 |
Real period |
R |
9.4674271711101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866h1 |
Quadratic twists by: 13 |