Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492c |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2105010135519984 = -1 · 24 · 39 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75141,8229573] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:3267:1] |
Generators of the group modulo torsion |
j |
-84098304/3773 |
j-invariant |
L |
6.3347247651969 |
L(r)(E,1)/r! |
Ω |
0.45976346346587 |
Real period |
R |
0.57409273722363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968dd2 30492d1 2772d2 |
Quadratic twists by: -4 -3 -11 |