Atkin-Lehner |
2- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
67450m |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
60000 |
Modular degree for the optimal curve |
Δ |
-140642423200 = -1 · 25 · 52 · 195 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,815,15457] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:108:1] |
Generators of the group modulo torsion |
j |
2397485591415/5625696928 |
j-invariant |
L |
10.268595054726 |
L(r)(E,1)/r! |
Ω |
0.7203078645191 |
Real period |
R |
2.8511683850364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450g1 |
Quadratic twists by: 5 |