Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525n |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
357328125 = 33 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-183,-232] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] |
Generators of the group modulo torsion |
j |
360448/189 |
j-invariant |
L |
3.6566142992766 |
L(r)(E,1)/r! |
Ω |
1.3752653163137 |
Real period |
R |
2.6588428108088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541j1 63525d1 |
Quadratic twists by: 5 -11 |