Atkin-Lehner |
2- 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634l |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-4159377031200768 = -1 · 215 · 36 · 132 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78035,8965235] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:3778:1] |
Generators of the group modulo torsion |
j |
-72087384799131625/5705592635392 |
j-invariant |
L |
7.9802159454582 |
L(r)(E,1)/r! |
Ω |
0.42995144007953 |
Real period |
R |
0.92803688993135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2626c2 |
Quadratic twists by: -3 |