Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800a |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-69677820000000000 = -1 · 211 · 310 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,89792,-7381088] |
[a1,a2,a3,a4,a6] |
Generators |
[13805:245916:125] |
Generators of the group modulo torsion |
j |
4003149550/3483891 |
j-invariant |
L |
4.8351911120553 |
L(r)(E,1)/r! |
Ω |
0.19090512681574 |
Real period |
R |
6.3319293624463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400o1 70800q1 |
Quadratic twists by: -4 5 |