Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cd |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-10004750401536 = -1 · 219 · 35 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11+ 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7745,305889] |
[a1,a2,a3,a4,a6] |
Generators |
[55:208:1] |
Generators of the group modulo torsion |
j |
-196021690129/38165094 |
j-invariant |
L |
4.9808000504555 |
L(r)(E,1)/r! |
Ω |
0.69521756458557 |
Real period |
R |
3.5821880360118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608bl1 31152bb1 |
Quadratic twists by: -4 8 |