Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77740l |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-587277851030000 = -1 · 24 · 54 · 136 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- 4 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7830,1193453] |
[a1,a2,a3,a4,a6] |
j |
-687518464/7604375 |
j-invariant |
L |
5.2718126885181 |
L(r)(E,1)/r! |
Ω |
0.43931772340268 |
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 |
460c1 |
Quadratic twists by: 13 |