Atkin-Lehner |
5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13915j |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41184 |
Modular degree for the optimal curve |
Δ |
-74570095727875 = -1 · 53 · 1110 · 23 |
Discriminant |
Eigenvalues |
0 0 5- 0 11- 4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29282,-1972875] |
[a1,a2,a3,a4,a6] |
j |
-107053056/2875 |
j-invariant |
L |
2.1863134256348 |
L(r)(E,1)/r! |
Ω |
0.18219278546957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235i1 69575d1 13915k1 |
Quadratic twists by: -3 5 -11 |