Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bi |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-888506243381250 = -1 · 2 · 313 · 55 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -1 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3578,1437387] |
[a1,a2,a3,a4,a6] |
Generators |
[-6412:59793:64] |
Generators of the group modulo torsion |
j |
-6947097508441/1218801431250 |
j-invariant |
L |
8.2232367593084 |
L(r)(E,1)/r! |
Ω |
0.40752515630187 |
Real period |
R |
5.0446191064198 |
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 |
7410f1 111150br1 |
Quadratic twists by: -3 5 |