Atkin-Lehner |
2+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2368f |
Isogeny class |
Conductor |
2368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
606208 = 214 · 37 |
Discriminant |
Eigenvalues |
2+ 1 2 1 -1 6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,67] |
[a1,a2,a3,a4,a6] |
j |
351232/37 |
j-invariant |
L |
2.8083140329194 |
L(r)(E,1)/r! |
Ω |
2.8083140329194 |
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 |
2368o1 296a1 21312w1 59200h1 |
Quadratic twists by: -4 8 -3 5 |