Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hl |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
784000000 = 210 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-337] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:197:27] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
6.8284743964836 |
L(r)(E,1)/r! |
Ω |
1.3112763197475 |
Real period |
R |
5.2075022576209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bo1 19600cg1 3136x1 78400ge1 |
Quadratic twists by: -4 8 5 -7 |