Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bf |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-105587582275627452 = -1 · 22 · 32 · 73 · 116 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139091,-25370278] |
[a1,a2,a3,a4,a6] |
Generators |
[612:10594:1] |
Generators of the group modulo torsion |
j |
-61653281712625/21875235228 |
j-invariant |
L |
5.2726875968348 |
L(r)(E,1)/r! |
Ω |
0.12144265301459 |
Real period |
R |
3.618091520001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462g3 |
Quadratic twists by: 13 |