Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100q |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
183584981250000 = 24 · 38 · 58 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15133,-302512] |
[a1,a2,a3,a4,a6] |
j |
1533160062976/734339925 |
j-invariant |
L |
3.6109113527928 |
L(r)(E,1)/r! |
Ω |
0.45136386234501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420g1 |
Quadratic twists by: 5 |