Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525q |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2906467265625 = 3 · 57 · 7 · 116 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7625,-246000] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2318:1] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
5.6473737998031 |
L(r)(E,1)/r! |
Ω |
0.51278823921218 |
Real period |
R |
5.506536000723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705n1 525a1 |
Quadratic twists by: 5 -11 |