Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350dq |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-15870000 = -1 · 24 · 3 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12,192] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] |
Generators of the group modulo torsion |
j |
575/48 |
j-invariant |
L |
13.431916831677 |
L(r)(E,1)/r! |
Ω |
1.6872261848082 |
Real period |
R |
0.66341218072794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350a1 79350dr1 |
Quadratic twists by: 5 -23 |