Atkin-Lehner |
2+ 5- 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050h |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-994397668750000 = -1 · 24 · 58 · 232 · 673 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-236701,44331048] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:9354:1] |
Generators of the group modulo torsion |
j |
-3754579616759785/2545658032 |
j-invariant |
L |
2.559964531126 |
L(r)(E,1)/r! |
Ω |
0.4893068444159 |
Real period |
R |
1.3079545895614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988114 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77050o1 |
Quadratic twists by: 5 |