Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380j |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-278962524207389440 = -1 · 28 · 5 · 112 · 239 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,94515,-22786577] |
[a1,a2,a3,a4,a6] |
Generators |
[498:12167:1] |
Generators of the group modulo torsion |
j |
2463850496/7361035 |
j-invariant |
L |
4.1376349147525 |
L(r)(E,1)/r! |
Ω |
0.15826419801632 |
Real period |
R |
1.0893269543856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998821328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060b1 |
Quadratic twists by: -23 |