Atkin-Lehner |
2+ 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538f |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
998630274304124 = 22 · 78 · 112 · 713 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34865,1988760] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:1994:1] [-13:1568:1] |
Generators of the group modulo torsion |
j |
812999904073/173228924 |
j-invariant |
L |
3.9857373393199 |
L(r)(E,1)/r! |
Ω |
0.46669021989998 |
Real period |
R |
2.1351086702467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76538o1 |
Quadratic twists by: -7 |