Atkin-Lehner |
5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35075g |
Isogeny class |
Conductor |
35075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
94920 |
Modular degree for the optimal curve |
Δ |
-548046875 = -1 · 58 · 23 · 61 |
Discriminant |
Eigenvalues |
-2 -1 5- -1 4 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51208,4477318] |
[a1,a2,a3,a4,a6] |
Generators |
[131:0:1] |
Generators of the group modulo torsion |
j |
-38017679134720/1403 |
j-invariant |
L |
1.6715188857801 |
L(r)(E,1)/r! |
Ω |
1.2134067920265 |
Real period |
R |
1.3775420549511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35075b1 |
Quadratic twists by: 5 |