Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700r |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-41640480000 = -1 · 28 · 37 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,492,8712] |
[a1,a2,a3,a4,a6] |
j |
82151600/260253 |
j-invariant |
L |
2.4252029647113 |
L(r)(E,1)/r! |
Ω |
0.80840098823529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107100bx1 35700bg1 |
Quadratic twists by: -3 5 |