Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bq |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
211598745886015488 = 214 · 35 · 7 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157174,-9254776] |
[a1,a2,a3,a4,a6] |
j |
88961427666721/43838226432 |
j-invariant |
L |
5.0430929135935 |
L(r)(E,1)/r! |
Ω |
0.25215464554004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006ba1 |
Quadratic twists by: 13 |