Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dj |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13363996262400 = 222 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7841,-203841] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:255:1] |
Generators of the group modulo torsion |
j |
203401212841/50979600 |
j-invariant |
L |
6.1304189556234 |
L(r)(E,1)/r! |
Ω |
0.51667685253036 |
Real period |
R |
2.9662732780269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240gj2 3570g2 |
Quadratic twists by: -4 8 |