Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810i |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
254880 |
Modular degree for the optimal curve |
Δ |
5873217504172840 = 23 · 5 · 598 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47066,1356476] |
[a1,a2,a3,a4,a6] |
Generators |
[463448975440202:-70599241880405342:20101460959] |
Generators of the group modulo torsion |
j |
78529/40 |
j-invariant |
L |
7.5114955803325 |
L(r)(E,1)/r! |
Ω |
0.37620335975487 |
Real period |
R |
19.966582927986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34810a1 |
Quadratic twists by: -59 |