Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100i |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-12218750000 = -1 · 24 · 59 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,68762] |
[a1,a2,a3,a4,a6] |
Generators |
[2:250:1] [22:100:1] |
Generators of the group modulo torsion |
j |
-13608288256/48875 |
j-invariant |
L |
6.9126368568029 |
L(r)(E,1)/r! |
Ω |
1.2732332873277 |
Real period |
R |
1.3572997434178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7820d1 |
Quadratic twists by: 5 |