Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900i |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-76043750000 = -1 · 24 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -4 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10158,-397687] |
[a1,a2,a3,a4,a6] |
Generators |
[268:4025:1] |
Generators of the group modulo torsion |
j |
-38112512/25 |
j-invariant |
L |
6.1321507220755 |
L(r)(E,1)/r! |
Ω |
0.23776441616969 |
Real period |
R |
2.1492390173472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580b1 52900h1 |
Quadratic twists by: 5 -23 |