Atkin-Lehner |
2- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8372b |
Isogeny class |
Conductor |
8372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-770224 = -1 · 24 · 7 · 13 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
80494592/48139 |
j-invariant |
L |
3.0249355907774 |
L(r)(E,1)/r! |
Ω |
1.6550809439606 |
Real period |
R |
1.2184441700834 |
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 |
33488x1 75348b1 58604l1 108836i1 |
Quadratic twists by: -4 -3 -7 13 |