Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10602c |
Isogeny class |
Conductor |
10602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-46371052455837696 = -1 · 214 · 36 · 194 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133038,-21325100] |
[a1,a2,a3,a4,a6] |
j |
-357211261606717153/63609125453824 |
j-invariant |
L |
0.24757932659219 |
L(r)(E,1)/r! |
Ω |
0.12378966329609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84816w1 1178a1 |
Quadratic twists by: -4 -3 |