Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-9107293125000000 = -1 · 26 · 3 · 510 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49520,1774850] |
[a1,a2,a3,a4,a6] |
Generators |
[100970:11345625:8] |
Generators of the group modulo torsion |
j |
209834491151416256/142301455078125 |
j-invariant |
L |
9.0220560542839 |
L(r)(E,1)/r! |
Ω |
0.25868345728601 |
Real period |
R |
6.9753637552302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hw1 57120d2 |
Quadratic twists by: -4 8 |