Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150y |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
580849920000000 = 214 · 33 · 57 · 75 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128105,17641897] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:5660:1] |
Generators of the group modulo torsion |
j |
551105805571803/1376829440 |
j-invariant |
L |
4.8351957517861 |
L(r)(E,1)/r! |
Ω |
0.51810436842605 |
Real period |
R |
0.066660531386134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200cq1 100800be1 3150d1 630b1 |
Quadratic twists by: -4 8 -3 5 |