Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506y |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
829918365696 = 211 · 33 · 75 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 4 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3031,46697] |
[a1,a2,a3,a4,a6] |
Generators |
[14:77:1] |
Generators of the group modulo torsion |
j |
3079572809565169/829918365696 |
j-invariant |
L |
10.979499539972 |
L(r)(E,1)/r! |
Ω |
0.83274485662395 |
Real period |
R |
0.079907334071265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518q1 |
Quadratic twists by: -3 |