Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ci |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
73656750704689152 = 220 · 33 · 72 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108924,-4622883] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:921:1] |
Generators of the group modulo torsion |
j |
29609739866953/15259926528 |
j-invariant |
L |
8.2393954913513 |
L(r)(E,1)/r! |
Ω |
0.27786597666601 |
Real period |
R |
1.4826204323138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462b1 |
Quadratic twists by: 13 |