Atkin-Lehner |
2+ 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ba |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-1192871160472992 = -1 · 25 · 3 · 73 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4010465,3090958964] |
[a1,a2,a3,a4,a6] |
j |
-42210553151868478206817/7058409233568 |
j-invariant |
L |
0.76446854673901 |
L(r)(E,1)/r! |
Ω |
0.38223427135068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078dk1 |
Quadratic twists by: 13 |