Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600h |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
800715214880000 = 28 · 54 · 7 · 595 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223100,-40537100] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:118:1] [-270:130:1] |
Generators of the group modulo torsion |
j |
7675425140659200/5004470093 |
j-invariant |
L |
10.713064925422 |
L(r)(E,1)/r! |
Ω |
0.21968057621743 |
Real period |
R |
0.81277591839224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600l1 |
Quadratic twists by: 5 |