Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119560x |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
429312 |
Modular degree for the optimal curve |
Δ |
58378906250000 = 24 · 513 · 72 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48540,-4115987] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:15:1] [-129:125:1] |
Generators of the group modulo torsion |
j |
16133028928355584/74462890625 |
j-invariant |
L |
9.002532198073 |
L(r)(E,1)/r! |
Ω |
0.32173217108487 |
Real period |
R |
1.0762095605896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119560o1 |
Quadratic twists by: -7 |