Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4512228050534400 = 216 · 34 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165025,-25545023] |
[a1,a2,a3,a4,a6] |
Generators |
[807:19136:1] |
Generators of the group modulo torsion |
j |
7583953079862436/68851136025 |
j-invariant |
L |
5.9294043369164 |
L(r)(E,1)/r! |
Ω |
0.23700081346176 |
Real period |
R |
6.2546244579336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986576 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240et2 28560bg2 |
Quadratic twists by: -4 8 |