Atkin-Lehner |
2- 3+ 5- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35670h |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26688 |
Modular degree for the optimal curve |
Δ |
-1738876830 = -1 · 2 · 3 · 5 · 292 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2305,-43603] |
[a1,a2,a3,a4,a6] |
j |
-1354404154104721/1738876830 |
j-invariant |
L |
2.0668962065279 |
L(r)(E,1)/r! |
Ω |
0.34448270109105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107010h1 |
Quadratic twists by: -3 |