Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090bd |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
-495237120 = -1 · 211 · 3 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,139,923] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:28:1] |
Generators of the group modulo torsion |
j |
865523177/1443840 |
j-invariant |
L |
6.6427774348452 |
L(r)(E,1)/r! |
Ω |
1.1320137192468 |
Real period |
R |
0.26673212854358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69090bx1 |
Quadratic twists by: -7 |