Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720l |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-19443200000 = -1 · 212 · 55 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -2 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3085,65275] |
[a1,a2,a3,a4,a6] |
Generators |
[45:140:1] |
Generators of the group modulo torsion |
j |
-792994249216/4746875 |
j-invariant |
L |
6.5284780257089 |
L(r)(E,1)/r! |
Ω |
1.2260924602648 |
Real period |
R |
0.26623106483743 |
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 |
34720o1 69440cl1 |
Quadratic twists by: -4 8 |