Atkin-Lehner |
2- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710ba |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-20478340090 = -1 · 2 · 5 · 132 · 594 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -5 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,683,199] |
[a1,a2,a3,a4,a6] |
Generators |
[495958:8266459:195112] |
Generators of the group modulo torsion |
j |
208782985671/121173610 |
j-invariant |
L |
10.745055021762 |
L(r)(E,1)/r! |
Ω |
0.73027345465291 |
Real period |
R |
7.3568708781199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710b1 |
Quadratic twists by: 13 |