Atkin-Lehner |
2+ 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110o |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15924480 |
Modular degree for the optimal curve |
Δ |
1.1229807633492E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30630600,40727269696] |
[a1,a2,a3,a4,a6] |
Generators |
[215:184694:1] |
Generators of the group modulo torsion |
j |
4359761216437217800809601/1540440004594232401920 |
j-invariant |
L |
2.315617271403 |
L(r)(E,1)/r! |
Ω |
0.0797949097828 |
Real period |
R |
1.4509805687607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32370ba1 |
Quadratic twists by: -3 |