Atkin-Lehner |
2+ 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350g |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
2701383823190250000 = 24 · 314 · 56 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1249550,-532297500] |
[a1,a2,a3,a4,a6] |
j |
13809092721694064353/172888564684176 |
j-invariant |
L |
2.2864407649982 |
L(r)(E,1)/r! |
Ω |
0.1429025425932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894p1 |
Quadratic twists by: 5 |