Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40626l |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-64733658121469952 = -1 · 215 · 315 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 3 3 -1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97015,-3841527] |
[a1,a2,a3,a4,a6] |
Generators |
[359:8604:1] |
Generators of the group modulo torsion |
j |
138521454997448375/88797884940288 |
j-invariant |
L |
10.352833758278 |
L(r)(E,1)/r! |
Ω |
0.19985105367409 |
Real period |
R |
0.863379132271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13542a1 |
Quadratic twists by: -3 |