Atkin-Lehner |
2+ 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630p |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
10309997915280 = 24 · 312 · 5 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69615,-7050659] |
[a1,a2,a3,a4,a6] |
Generators |
[371:4067:1] |
Generators of the group modulo torsion |
j |
51180930268781041/14142658320 |
j-invariant |
L |
4.8291473254878 |
L(r)(E,1)/r! |
Ω |
0.29392109509802 |
Real period |
R |
2.053760093312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210z1 |
Quadratic twists by: -3 |