Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680da |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
5158758304972800 = 222 · 33 · 52 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293160,60899508] |
[a1,a2,a3,a4,a6] |
Generators |
[228:2442:1] |
Generators of the group modulo torsion |
j |
680266970173241641/1259462476800 |
j-invariant |
L |
10.355532182723 |
L(r)(E,1)/r! |
Ω |
0.43102813245687 |
Real period |
R |
0.66736634946808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210g1 |
Quadratic twists by: -4 |