Atkin-Lehner |
3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989l |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-5994550946588211 = -1 · 36 · 7 · 537 |
Discriminant |
Eigenvalues |
2 3- -3 7+ -3 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,44008,1132625] |
[a1,a2,a3,a4,a6] |
j |
425259008/270459 |
j-invariant |
L |
3.17538846675 |
L(r)(E,1)/r! |
Ω |
0.26461570591715 |
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 |
1113c1 |
Quadratic twists by: 53 |