Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978q |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-878885316 = -1 · 22 · 310 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149,-1551] |
[a1,a2,a3,a4,a6] |
Generators |
[47:282:1] |
Generators of the group modulo torsion |
j |
-134017/324 |
j-invariant |
L |
6.5444762415505 |
L(r)(E,1)/r! |
Ω |
0.63760110298476 |
Real period |
R |
2.5660543129516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22326c1 66978h1 |
Quadratic twists by: -3 61 |