Atkin-Lehner |
3+ 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22755a |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21360 |
Modular degree for the optimal curve |
Δ |
-8396595 = -1 · 33 · 5 · 37 · 412 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 0 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2636,-51223] |
[a1,a2,a3,a4,a6] |
j |
-2026397656797184/8396595 |
j-invariant |
L |
0.66626863105276 |
L(r)(E,1)/r! |
Ω |
0.33313431552642 |
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 |
68265k1 113775m1 |
Quadratic twists by: -3 5 |