Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394a |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6686442 = 2 · 33 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10977,445419] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4026:1] |
Generators of the group modulo torsion |
j |
5417927574172875/247646 |
j-invariant |
L |
2.454843576762 |
L(r)(E,1)/r! |
Ω |
1.7673933745207 |
Real period |
R |
4.1668882753863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19152bd2 76608h2 2394g4 59850ds2 |
Quadratic twists by: -4 8 -3 5 |