Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475p |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-35741376042075 = -1 · 39 · 52 · 116 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8235,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[279:4900:1] |
Generators of the group modulo torsion |
j |
125511413760/72634001 |
j-invariant |
L |
4.430958336936 |
L(r)(E,1)/r! |
Ω |
0.38920712552429 |
Real period |
R |
0.94871471127793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475f1 101475bb1 |
Quadratic twists by: -3 5 |