Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850s |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1344093750 = -1 · 2 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,237,-969] |
[a1,a2,a3,a4,a6] |
j |
94196375/86022 |
j-invariant |
L |
3.3407836497472 |
L(r)(E,1)/r! |
Ω |
0.83519591243681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800cp1 26550t1 354b1 |
Quadratic twists by: -4 -3 5 |