Atkin-Lehner |
2+ 3+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992b |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42752 |
Modular degree for the optimal curve |
Δ |
-356976 = -1 · 24 · 32 · 37 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -2 -7 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-420,-3177] |
[a1,a2,a3,a4,a6] |
j |
-513316500736/22311 |
j-invariant |
L |
1.0543873829702 |
L(r)(E,1)/r! |
Ω |
0.52719340469493 |
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 |
59496a1 |
Quadratic twists by: -4 |