Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400r |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-89280000 = -1 · 29 · 32 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,-8588] |
[a1,a2,a3,a4,a6] |
j |
-182534600/279 |
j-invariant |
L |
1.7905734312953 |
L(r)(E,1)/r! |
Ω |
0.44764335999847 |
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 |
74400bn1 74400ck1 |
Quadratic twists by: -4 5 |