Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52700c |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
3046060000000 = 28 · 57 · 173 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39175,-2983250] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:34:1] |
Generators of the group modulo torsion |
j |
1662228545616/761515 |
j-invariant |
L |
3.4315366946315 |
L(r)(E,1)/r! |
Ω |
0.33935890092102 |
Real period |
R |
1.6853036148188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10540c1 |
Quadratic twists by: 5 |