Atkin-Lehner |
2- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78988b |
Isogeny class |
Conductor |
78988 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
167760 |
Modular degree for the optimal curve |
Δ |
7074741576448 = 28 · 74 · 135 · 31 |
Discriminant |
Eigenvalues |
2- 1 2 7+ -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17852,903188] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:1330:1] |
Generators of the group modulo torsion |
j |
1023709063888/11510083 |
j-invariant |
L |
8.5964572190706 |
L(r)(E,1)/r! |
Ω |
0.74905128363576 |
Real period |
R |
3.8254867220419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78988g1 |
Quadratic twists by: -7 |