Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gu |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-403536070000000000 = -1 · 210 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 1 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,122500,25725000] |
[a1,a2,a3,a4,a6] |
Generators |
[-233817227:1835940869:1442897] |
Generators of the group modulo torsion |
j |
172800/343 |
j-invariant |
L |
5.6401154820104 |
L(r)(E,1)/r! |
Ω |
0.20681501589945 |
Real period |
R |
13.635652749168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400r1 19600g1 78400ka1 11200ci1 |
Quadratic twists by: -4 8 5 -7 |