Atkin-Lehner |
2+ 3+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130t |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-1530208777440 = -1 · 25 · 3 · 5 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-907,60061] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:1537:8] |
Generators of the group modulo torsion |
j |
-2048383/37920 |
j-invariant |
L |
3.9461315615798 |
L(r)(E,1)/r! |
Ω |
0.71391528503646 |
Real period |
R |
2.763725372223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999691688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130bd1 |
Quadratic twists by: -7 |