Atkin-Lehner |
2- 3+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
29748a |
Isogeny class |
Conductor |
29748 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3564594488740608 = 28 · 34 · 376 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45828,-2435832] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:154:1] |
Generators of the group modulo torsion |
j |
41580138984946000/13924197221643 |
j-invariant |
L |
4.3433352925874 |
L(r)(E,1)/r! |
Ω |
0.33509952291919 |
Real period |
R |
4.3204431276126 |
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 |
118992o2 89244b2 |
Quadratic twists by: -4 -3 |