Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920m |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3209932800 = -1 · 212 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-1712] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] [24:140:1] |
Generators of the group modulo torsion |
j |
1124864/1075 |
j-invariant |
L |
10.039028675565 |
L(r)(E,1)/r! |
Ω |
0.77370575093532 |
Real period |
R |
1.6219067558051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61920bt1 123840dc1 6880j1 |
Quadratic twists by: -4 8 -3 |