Atkin-Lehner |
2+ 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630s |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1317361320000 = 26 · 37 · 54 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2979,-28715] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:197:1] |
Generators of the group modulo torsion |
j |
4011342040369/1807080000 |
j-invariant |
L |
5.0676874614684 |
L(r)(E,1)/r! |
Ω |
0.67408895147922 |
Real period |
R |
0.46986449732903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210s1 |
Quadratic twists by: -3 |