Atkin-Lehner |
3+ 5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465m |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-137051696925 = -1 · 33 · 52 · 11 · 13 · 175 |
Discriminant |
Eigenvalues |
-1 3+ 5- -5 11- 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-715,-19570] |
[a1,a2,a3,a4,a6] |
j |
-40427771258161/137051696925 |
j-invariant |
L |
0.84886463319273 |
L(r)(E,1)/r! |
Ω |
0.42443231660229 |
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 |
109395k1 |
Quadratic twists by: -3 |