Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610b |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1157632000 = -1 · 212 · 53 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -1 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,111,-1564] |
[a1,a2,a3,a4,a6] |
Generators |
[11:26:1] |
Generators of the group modulo torsion |
j |
153216258551/1157632000 |
j-invariant |
L |
1.4335587320021 |
L(r)(E,1)/r! |
Ω |
0.76682384293504 |
Real period |
R |
0.93473797483597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cd1 |
Quadratic twists by: 5 |