Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2300f |
Isogeny class |
Conductor |
2300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
57500000000 = 28 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2708,53912] |
[a1,a2,a3,a4,a6] |
Generators |
[13:144:1] |
Generators of the group modulo torsion |
j |
878800/23 |
j-invariant |
L |
4.0659662188715 |
L(r)(E,1)/r! |
Ω |
1.1109842511721 |
Real period |
R |
3.6597874493559 |
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 |
9200v1 36800bc1 20700g1 2300h1 |
Quadratic twists by: -4 8 -3 5 |