Atkin-Lehner |
3+ 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135b |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
947025 = 33 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,306] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] [0:17:1] |
Generators of the group modulo torsion |
j |
2315685267/35075 |
j-invariant |
L |
5.0758512284264 |
L(r)(E,1)/r! |
Ω |
2.7960617749275 |
Real period |
R |
1.8153573264922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63135c1 |
Quadratic twists by: -3 |