Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ha |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
325140480000 = 217 · 34 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1808,11712] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:90:1] [-8:160:1] |
Generators of the group modulo torsion |
j |
5213425/2592 |
j-invariant |
L |
8.7897782066281 |
L(r)(E,1)/r! |
Ω |
0.85467802137499 |
Real period |
R |
0.42851313529785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cx1 58800ih1 58800jf1 |
Quadratic twists by: -4 5 -7 |