Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394v |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-560814097283765532 = -1 · 22 · 34 · 239 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-230920,-55897726] |
[a1,a2,a3,a4,a6] |
Generators |
[6134:115039:8] |
Generators of the group modulo torsion |
j |
-756058031/311364 |
j-invariant |
L |
4.9634785306806 |
L(r)(E,1)/r! |
Ω |
0.10673682270185 |
Real period |
R |
5.8127532638763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98394x1 |
Quadratic twists by: -23 |