Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700m |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
5485804800 = 28 · 3 · 52 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-813,8457] |
[a1,a2,a3,a4,a6] |
Generators |
[8:49:1] |
Generators of the group modulo torsion |
j |
9297141760/857157 |
j-invariant |
L |
5.223374690573 |
L(r)(E,1)/r! |
Ω |
1.3193893655855 |
Real period |
R |
0.79178668963354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107100bt1 35700bp1 |
Quadratic twists by: -3 5 |