Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2394k |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-51741671605848 = -1 · 23 · 310 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3244,-339505] |
[a1,a2,a3,a4,a6] |
Generators |
[75:529:1] |
Generators of the group modulo torsion |
j |
5180411077127/70976229912 |
j-invariant |
L |
4.0767646535074 |
L(r)(E,1)/r! |
Ω |
0.30964027660617 |
Real period |
R |
2.1943552790736 |
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 |
19152bz4 76608bt3 798b4 59850bu3 |
Quadratic twists by: -4 8 -3 5 |