Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350p |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
5405131200000000 = 212 · 3 · 58 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-186700,-30926000] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:356:1] |
Generators of the group modulo torsion |
j |
1842469324247785/13837135872 |
j-invariant |
L |
3.2819557041637 |
L(r)(E,1)/r! |
Ω |
0.22977871962334 |
Real period |
R |
1.4283114243342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350db1 |
Quadratic twists by: 5 |