Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608v |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
391982874624 = 226 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,10209] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:180:1] |
Generators of the group modulo torsion |
j |
2845178713/1495296 |
j-invariant |
L |
4.5104318692101 |
L(r)(E,1)/r! |
Ω |
0.83364516519254 |
Real period |
R |
2.7052467868337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000133506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cz1 3894d1 |
Quadratic twists by: -4 8 |