Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230de |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1433600 |
Modular degree for the optimal curve |
Δ |
65856708168007680 = 214 · 33 · 5 · 75 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-620027,-187354901] |
[a1,a2,a3,a4,a6] |
Generators |
[-461:818:1] |
Generators of the group modulo torsion |
j |
551105805571803/1376829440 |
j-invariant |
L |
10.288980552328 |
L(r)(E,1)/r! |
Ω |
0.17016183570188 |
Real period |
R |
0.86379790051797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230g1 630b1 |
Quadratic twists by: -3 -11 |