Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304o |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17152 |
Modular degree for the optimal curve |
Δ |
373824 = 26 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-214,1136] |
[a1,a2,a3,a4,a6] |
j |
17014253248/5841 |
j-invariant |
L |
2.9558859161331 |
L(r)(E,1)/r! |
Ω |
2.9558859144367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304b1 124608bz1 |
Quadratic twists by: -4 8 |