Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230l |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
975744 |
Modular degree for the optimal curve |
Δ |
-302434109266544640 = -1 · 211 · 39 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114549,-30348235] |
[a1,a2,a3,a4,a6] |
Generators |
[19765552029013:306066922297123:35384466187] |
Generators of the group modulo torsion |
j |
-39397347/71680 |
j-invariant |
L |
5.1918935575673 |
L(r)(E,1)/r! |
Ω |
0.12234741041407 |
Real period |
R |
21.217831828217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230cw1 76230dd1 |
Quadratic twists by: -3 -11 |