Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230u |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
8102160 = 24 · 33 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73,188] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:20:1] |
Generators of the group modulo torsion |
j |
42180533641/8102160 |
j-invariant |
L |
4.4241252893334 |
L(r)(E,1)/r! |
Ω |
2.2145330469594 |
Real period |
R |
0.6659229727019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840ca1 30690bb1 51150br1 112530dd1 |
Quadratic twists by: -4 -3 5 -11 |