Atkin-Lehner |
3- 5- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
97785h |
Isogeny class |
Conductor |
97785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
553984 |
Modular degree for the optimal curve |
Δ |
-157421626875 = -1 · 37 · 54 · 41 · 532 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -5 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-115347,15078492] |
[a1,a2,a3,a4,a6] |
Generators |
[195:26:1] [17:3622:1] |
Generators of the group modulo torsion |
j |
-232817217670549504/215941875 |
j-invariant |
L |
5.3665397274815 |
L(r)(E,1)/r! |
Ω |
0.857531987282 |
Real period |
R |
0.19556630998618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32595c1 |
Quadratic twists by: -3 |