Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950n |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-88525725356250000 = -1 · 24 · 33 · 58 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,107508,-4591584] |
[a1,a2,a3,a4,a6] |
j |
13029267150405/8393550256 |
j-invariant |
L |
2.3342011887935 |
L(r)(E,1)/r! |
Ω |
0.19451676573513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40950di2 40950cv1 |
Quadratic twists by: -3 5 |