Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200bx |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-69122129920000 = -1 · 230 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- 5 -4 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6592,-345088] |
[a1,a2,a3,a4,a6] |
j |
12372841775/27000832 |
j-invariant |
L |
3.8447637090292 |
L(r)(E,1)/r! |
Ω |
0.32039697575778 |
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 |
5150s1 41200bc1 |
Quadratic twists by: -4 5 |