Atkin-Lehner |
2+ 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30552d |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
491904 |
Modular degree for the optimal curve |
Δ |
-7389924081636528 = -1 · 24 · 37 · 196 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152455,-23231444] |
[a1,a2,a3,a4,a6] |
Generators |
[519:6097:1] |
Generators of the group modulo torsion |
j |
-24492414183604197376/461870255102283 |
j-invariant |
L |
3.0150367440969 |
L(r)(E,1)/r! |
Ω |
0.12066971271882 |
Real period |
R |
4.1643102705242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104k1 91656t1 |
Quadratic twists by: -4 -3 |