Atkin-Lehner |
2- 3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392m |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-33876017676288 = -1 · 229 · 34 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11248,-534080] |
[a1,a2,a3,a4,a6] |
Generators |
[3576:14336:27] |
Generators of the group modulo torsion |
j |
-38426275968625/8270512128 |
j-invariant |
L |
5.7582460382583 |
L(r)(E,1)/r! |
Ω |
0.22915366438854 |
Real period |
R |
3.1410396892537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4674g1 112176ba1 |
Quadratic twists by: -4 -3 |