Atkin-Lehner |
2- 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646n |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-9166824 = -1 · 23 · 33 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 3 -5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-98,-375] |
[a1,a2,a3,a4,a6] |
Generators |
[15:29:1] |
Generators of the group modulo torsion |
j |
-3818360547/339512 |
j-invariant |
L |
6.8452136068046 |
L(r)(E,1)/r! |
Ω |
0.75546308176552 |
Real period |
R |
0.75507921035745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20646d1 |
Quadratic twists by: -3 |