Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352i |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37900302336 = 211 · 32 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-789589632,-8539587332640] |
[a1,a2,a3,a4,a6] |
Generators |
[169195182:-149648150015:216] |
Generators of the group modulo torsion |
j |
26582637653663608426521740546/18506007 |
j-invariant |
L |
4.7172421519393 |
L(r)(E,1)/r! |
Ω |
0.028480604003141 |
Real period |
R |
13.8024991541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176o4 57408di4 43056j4 |
Quadratic twists by: -4 8 -3 |