Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960df |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-21683376000000000 = -1 · 213 · 36 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70203,10072298] |
[a1,a2,a3,a4,a6] |
j |
-12814546750201/7261718750 |
j-invariant |
L |
2.8370147676286 |
L(r)(E,1)/r! |
Ω |
0.35462682930122 |
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 |
12870bv1 11440u1 |
Quadratic twists by: -4 -3 |