Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520ce |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-281067180079841280 = -1 · 217 · 321 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17493,25491674] |
[a1,a2,a3,a4,a6] |
Generators |
[565:14688:1] |
Generators of the group modulo torsion |
j |
198257271191/94128829920 |
j-invariant |
L |
6.3943289211949 |
L(r)(E,1)/r! |
Ω |
0.24010697416203 |
Real period |
R |
3.3288958720957 |
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 |
3690u1 118080et1 9840k1 |
Quadratic twists by: -4 8 -3 |