Atkin-Lehner |
3- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24309c |
Isogeny class |
Conductor |
24309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11642868477 = 310 · 37 · 732 |
Discriminant |
Eigenvalues |
1 3- -4 4 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1899,-30956] |
[a1,a2,a3,a4,a6] |
Generators |
[430:919:8] |
Generators of the group modulo torsion |
j |
1039201376689/15971013 |
j-invariant |
L |
5.1442292108728 |
L(r)(E,1)/r! |
Ω |
0.72387239689525 |
Real period |
R |
3.5532707373128 |
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 |
8103c2 |
Quadratic twists by: -3 |