Atkin-Lehner |
2- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18352f |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
145641472 = 212 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 1 -2 5 3 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149,-445] |
[a1,a2,a3,a4,a6] |
j |
89915392/35557 |
j-invariant |
L |
2.8258092435803 |
L(r)(E,1)/r! |
Ω |
1.4129046217901 |
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 |
1147a1 73408bb1 |
Quadratic twists by: -4 8 |