Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840cc |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1019056619520 = -1 · 217 · 39 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7521,253215] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-144:1] |
Generators of the group modulo torsion |
j |
-359003179442/7774785 |
j-invariant |
L |
8.1513973852611 |
L(r)(E,1)/r! |
Ω |
0.87648379127969 |
Real period |
R |
0.25833644315659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840h1 18960b1 |
Quadratic twists by: -4 8 |