Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656d |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
68224 |
Modular degree for the optimal curve |
Δ |
-498755252736 = -1 · 29 · 313 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -2 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,-33944] |
[a1,a2,a3,a4,a6] |
j |
-306182024/974131353 |
j-invariant |
L |
0.42205673711044 |
L(r)(E,1)/r! |
Ω |
0.42205673578063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656t1 117312bl1 |
Quadratic twists by: -4 8 |