Atkin-Lehner |
3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34545p |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-20155038435 = -1 · 36 · 5 · 76 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,425,-6084] |
[a1,a2,a3,a4,a6] |
Generators |
[12:24:1] [16:67:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
6.2060574348104 |
L(r)(E,1)/r! |
Ω |
0.62892450599857 |
Real period |
R |
2.4669325871462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635m1 705c1 |
Quadratic twists by: -3 -7 |