Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792g |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-9927792 = -1 · 24 · 33 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -1 7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3852,-90747] |
[a1,a2,a3,a4,a6] |
Generators |
[566:13369:1] |
Generators of the group modulo torsion |
j |
-1152076147456/1809 |
j-invariant |
L |
7.3359912960432 |
L(r)(E,1)/r! |
Ω |
0.3029971569237 |
Real period |
R |
6.0528548925262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78792l1 |
Quadratic twists by: -7 |