Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22880f |
Isogeny class |
Conductor |
22880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
1959137280077120 = 26 · 5 · 118 · 134 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185526,30745916] |
[a1,a2,a3,a4,a6] |
Generators |
[12218:1349634:1] |
Generators of the group modulo torsion |
j |
11034697254917922496/30611520001205 |
j-invariant |
L |
7.5012451686201 |
L(r)(E,1)/r! |
Ω |
0.46845392664765 |
Real period |
R |
2.0015962995285 |
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 |
22880a1 45760r2 114400i1 |
Quadratic twists by: -4 8 5 |