Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bw |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
22079232 = 28 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348,2376] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1998:1] |
Generators of the group modulo torsion |
j |
18258658000/86247 |
j-invariant |
L |
5.8505731172804 |
L(r)(E,1)/r! |
Ω |
2.1568201972739 |
Real period |
R |
2.7125919558223 |
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 |
3108b2 49728dj2 37296ch2 87024ci2 |
Quadratic twists by: -4 8 -3 -7 |