Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928s |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
4189741645824 = 220 · 39 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6156,157680] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:540:1] |
Generators of the group modulo torsion |
j |
5000211/812 |
j-invariant |
L |
3.3095167554369 |
L(r)(E,1)/r! |
Ω |
0.7449502241944 |
Real period |
R |
2.2213005893712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cv1 3654c1 116928n1 |
Quadratic twists by: -4 8 -3 |