Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bd |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
1143493490304000 = 210 · 39 · 53 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26163,78462] |
[a1,a2,a3,a4,a6] |
Generators |
[-526:9845:8] |
Generators of the group modulo torsion |
j |
98264146572/56733875 |
j-invariant |
L |
8.0459675963468 |
L(r)(E,1)/r! |
Ω |
0.41502383862299 |
Real period |
R |
4.8466900024887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122760e1 |
Quadratic twists by: -3 |