Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30222q |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
141737350612207248 = 24 · 316 · 232 · 733 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140009,-8824935] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:3378:1] |
Generators of the group modulo torsion |
j |
416352461816289097/194427092746512 |
j-invariant |
L |
9.3617030429574 |
L(r)(E,1)/r! |
Ω |
0.25820889626385 |
Real period |
R |
1.5106797858918 |
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 |
10074j1 |
Quadratic twists by: -3 |