Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176p |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
6.2238662708925E+23 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26026224,34211625172] |
[a1,a2,a3,a4,a6] |
Generators |
[1388:27626:1] |
Generators of the group modulo torsion |
j |
475989388412119272207217/151949860129212465152 |
j-invariant |
L |
2.1084385648425 |
L(r)(E,1)/r! |
Ω |
0.084418379551767 |
Real period |
R |
6.2440151541552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522f1 |
Quadratic twists by: -4 |