Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600m |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-209742048000000 = -1 · 211 · 311 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 5 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45075,3748750] |
[a1,a2,a3,a4,a6] |
j |
-434163602/8991 |
j-invariant |
L |
4.5001115103988 |
L(r)(E,1)/r! |
Ω |
0.56251393710472 |
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 |
22200r1 2664h1 |
Quadratic twists by: -3 5 |