Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
66600bh |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-31904095968000 = -1 · 28 · 39 · 53 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,353700] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:378:1] [40:-370:1] |
Generators of the group modulo torsion |
j |
-60742656/50653 |
j-invariant |
L |
9.6800094510878 |
L(r)(E,1)/r! |
Ω |
0.60286022890646 |
Real period |
R |
0.66903356332023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66600i1 66600f1 |
Quadratic twists by: -3 5 |