Atkin-Lehner |
5- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59225l |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-323583782875 = -1 · 53 · 23 · 1034 |
Discriminant |
Eigenvalues |
-2 2 5- -5 -4 2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1132,22738] |
[a1,a2,a3,a4,a6] |
Generators |
[1:154:1] [37:337:1] |
Generators of the group modulo torsion |
j |
1282239852544/2588670263 |
j-invariant |
L |
6.1325712946259 |
L(r)(E,1)/r! |
Ω |
0.66676422990501 |
Real period |
R |
1.1496888666894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59225f1 |
Quadratic twists by: 5 |