Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hk |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
56330588160000000 = 218 · 36 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128408,13495188] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-3150:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
9.7121242282211 |
L(r)(E,1)/r! |
Ω |
0.33152249674568 |
Real period |
R |
0.40688223448592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550d1 18480bp1 |
Quadratic twists by: -4 5 |