Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928u |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-34893324288 = -1 · 213 · 33 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 2 -5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2427,46890] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:6:1] [69:456:1] |
Generators of the group modulo torsion |
j |
-14295828483/315514 |
j-invariant |
L |
7.310635730158 |
L(r)(E,1)/r! |
Ω |
1.1608790116372 |
Real period |
R |
0.26239583887479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7866n1 62928r1 |
Quadratic twists by: -4 -3 |