Atkin-Lehner |
2+ 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640h |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-163216684800 = -1 · 28 · 38 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1257,-9142] |
[a1,a2,a3,a4,a6] |
Generators |
[34:270:1] |
Generators of the group modulo torsion |
j |
1176960944/874575 |
j-invariant |
L |
7.3468310382174 |
L(r)(E,1)/r! |
Ω |
0.57199908455078 |
Real period |
R |
1.6055163477273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880o1 |
Quadratic twists by: -3 |