Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529bf |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43352064 |
Modular degree for the optimal curve |
Δ |
-4.9143066986409E+27 |
Discriminant |
Eigenvalues |
2 3- -1 7- -2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,189278817,-3220417506875] |
[a1,a2,a3,a4,a6] |
Generators |
[2783235025547725968547510:130582803173359175605190101:249729693693859655704] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
11.173739802097 |
L(r)(E,1)/r! |
Ω |
0.021582174132695 |
Real period |
R |
32.358127283068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24843f1 10647g1 5733m1 |
Quadratic twists by: -3 -7 13 |