Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090g |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-204834909132000 = -1 · 25 · 33 · 53 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13352,354208] |
[a1,a2,a3,a4,a6] |
Generators |
[27:844:1] |
Generators of the group modulo torsion |
j |
2237296892039/1741068000 |
j-invariant |
L |
2.2582764253517 |
L(r)(E,1)/r! |
Ω |
0.3618811176557 |
Real period |
R |
1.560095508388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9870j1 |
Quadratic twists by: -7 |