Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520be |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-8.6529203667705E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -4 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38194536,-90952670864] |
[a1,a2,a3,a4,a6] |
Generators |
[97026:30159590:1] |
Generators of the group modulo torsion |
j |
-260965544428316329/366453132800 |
j-invariant |
L |
4.4169641670251 |
L(r)(E,1)/r! |
Ω |
0.030362161795469 |
Real period |
R |
7.2737973366644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998527498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190a1 121520ci1 |
Quadratic twists by: -4 -7 |