Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850g |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1560384 |
Modular degree for the optimal curve |
Δ |
-598847527880000000 = -1 · 29 · 57 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301376,-73791602] |
[a1,a2,a3,a4,a6] |
Generators |
[18131566518:609937389989:12812904] |
Generators of the group modulo torsion |
j |
-685878529/135680 |
j-invariant |
L |
6.5973130037724 |
L(r)(E,1)/r! |
Ω |
0.10080536969082 |
Real period |
R |
16.361511749649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970v1 129850a1 |
Quadratic twists by: 5 -7 |