Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bl |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-35476056 = -1 · 23 · 36 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-805,8729] |
[a1,a2,a3,a4,a6] |
Generators |
[20:17:1] |
Generators of the group modulo torsion |
j |
-57695915808721/35476056 |
j-invariant |
L |
11.86636739447 |
L(r)(E,1)/r! |
Ω |
2.0401291430224 |
Real period |
R |
0.32313769708201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494m1 |
Quadratic twists by: -3 |