Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bg |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-334753155 = -1 · 37 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33,877] |
[a1,a2,a3,a4,a6] |
j |
4096/345 |
j-invariant |
L |
5.2352468441478 |
L(r)(E,1)/r! |
Ω |
1.3088116375846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745d1 125235bh1 |
Quadratic twists by: -3 -11 |