Atkin-Lehner |
2+ 3- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990n |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
679800000000 = 29 · 3 · 58 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -7 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4034,-90604] |
[a1,a2,a3,a4,a6] |
j |
7257325888965529/679800000000 |
j-invariant |
L |
1.2053370041289 |
L(r)(E,1)/r! |
Ω |
0.60266850206467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970ce1 |
Quadratic twists by: -3 |