Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350ce |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-12966912000000 = -1 · 216 · 33 · 56 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4462,-127969] |
[a1,a2,a3,a4,a6] |
Generators |
[89:947:1] |
Generators of the group modulo torsion |
j |
628762020263/829882368 |
j-invariant |
L |
6.9491396304937 |
L(r)(E,1)/r! |
Ω |
0.37837725305962 |
Real period |
R |
2.2957047413117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2814a1 |
Quadratic twists by: 5 |