Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110cf |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-7.4536217380086E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4050247,-2723226919] |
[a1,a2,a3,a4,a6] |
Generators |
[1911:108556:1] [723:23776:1] |
Generators of the group modulo torsion |
j |
10079542290658807544759/10224446828544000000 |
j-invariant |
L |
14.963764669911 |
L(r)(E,1)/r! |
Ω |
0.071775539654398 |
Real period |
R |
1.1582222348106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370n1 |
Quadratic twists by: -3 |