Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492d |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2887531050096 = -1 · 24 · 33 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8349,-304799] |
[a1,a2,a3,a4,a6] |
Generators |
[704:18513:1] |
Generators of the group modulo torsion |
j |
-84098304/3773 |
j-invariant |
L |
3.6686280677369 |
L(r)(E,1)/r! |
Ω |
0.24907132951494 |
Real period |
R |
3.6823066658067 |
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 |
121968de1 30492c2 2772c1 |
Quadratic twists by: -4 -3 -11 |