Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700ba |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-21420000000 = -1 · 28 · 32 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,37863] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
-268435456/5355 |
j-invariant |
L |
7.4031101131188 |
L(r)(E,1)/r! |
Ω |
1.2101811459146 |
Real period |
R |
0.7646696259183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107100bd1 7140g1 |
Quadratic twists by: -3 5 |