Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488hg |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-49700008512 = -1 · 26 · 35 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2956,-63778] |
[a1,a2,a3,a4,a6] |
j |
-18595667776/323433 |
j-invariant |
L |
4.8509203219192 |
L(r)(E,1)/r! |
Ω |
0.32339470048694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ew1 51744bt1 103488gv1 |
Quadratic twists by: -4 8 -7 |