Atkin-Lehner |
2- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
103376t |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2.551733347096E+20 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1616368,186411732] |
[a1,a2,a3,a4,a6] |
Generators |
[1716:49686:1] |
Generators of the group modulo torsion |
j |
114020978741696832625/62298177419336768 |
j-invariant |
L |
4.9683144634833 |
L(r)(E,1)/r! |
Ω |
0.15234190587238 |
Real period |
R |
0.81532301220351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12922c1 |
Quadratic twists by: -4 |