Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900du |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-552335020981920000 = -1 · 28 · 311 · 54 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335775,-82987850] |
[a1,a2,a3,a4,a6] |
Generators |
[3410:196020:1] |
Generators of the group modulo torsion |
j |
-20261200/2673 |
j-invariant |
L |
5.4033343332579 |
L(r)(E,1)/r! |
Ω |
0.098440864846351 |
Real period |
R |
2.287047472007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300ck1 108900cl1 9900be1 |
Quadratic twists by: -3 5 -11 |