Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492c |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-7130433817584 = -1 · 24 · 33 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4719,30613] |
[a1,a2,a3,a4,a6] |
Generators |
[946:11979:8] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
6.3347247651969 |
L(r)(E,1)/r! |
Ω |
0.45976346346587 |
Real period |
R |
1.7222782116709 |
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 |
121968dd1 30492d2 2772d1 |
Quadratic twists by: -4 -3 -11 |