Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
66600d |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-31968000000 = -1 · 211 · 33 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 5 -3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,-7250] |
[a1,a2,a3,a4,a6] |
j |
18522/37 |
j-invariant |
L |
2.4404269839224 |
L(r)(E,1)/r! |
Ω |
0.61010674702539 |
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 |
66600bc1 2664e1 |
Quadratic twists by: -3 5 |