Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800r |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
7168500000000 = 28 · 35 · 59 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 1 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,9963] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:375:1] |
Generators of the group modulo torsion |
j |
24974336/14337 |
j-invariant |
L |
7.6114705198759 |
L(r)(E,1)/r! |
Ω |
0.63673867444248 |
Real period |
R |
1.1953837306106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400m1 70800i1 |
Quadratic twists by: -4 5 |