Atkin-Lehner |
3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22995a |
Isogeny class |
Conductor |
22995 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-3018661151625 = -1 · 39 · 53 · 75 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7845,-278254] |
[a1,a2,a3,a4,a6] |
j |
-2712953829123/153363875 |
j-invariant |
L |
2.5281086002373 |
L(r)(E,1)/r! |
Ω |
0.25281086002373 |
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 |
22995d1 114975e1 |
Quadratic twists by: -3 5 |