Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bm |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29675520 |
Modular degree for the optimal curve |
Δ |
1.0374639330027E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-281203451,-1808405814202] |
[a1,a2,a3,a4,a6] |
Generators |
[-34803325732353:196006198145384:3745539377] |
Generators of the group modulo torsion |
j |
139808984375/589824 |
j-invariant |
L |
5.8815850870774 |
L(r)(E,1)/r! |
Ω |
0.036876918184632 |
Real period |
R |
19.936539496163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350cu1 79350bj1 |
Quadratic twists by: 5 -23 |