Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800bo |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-5164819200 = -1 · 28 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,-3510] |
[a1,a2,a3,a4,a6] |
Generators |
[19:28:1] [21:54:1] |
Generators of the group modulo torsion |
j |
-2160/41 |
j-invariant |
L |
10.281771964711 |
L(r)(E,1)/r! |
Ω |
0.5867059316847 |
Real period |
R |
2.1905718455977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800e1 73800h1 |
Quadratic twists by: -3 5 |