Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
94269g |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12925440 |
Modular degree for the optimal curve |
Δ |
-4.5579512451475E+23 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16667564,19218907939] |
[a1,a2,a3,a4,a6] |
Generators |
[7774230:7659931201:8] |
Generators of the group modulo torsion |
j |
5660975162375567/5038727352687 |
j-invariant |
L |
3.5464197170602 |
L(r)(E,1)/r! |
Ω |
0.061102847488334 |
Real period |
R |
9.6733619078935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999236281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1407c1 |
Quadratic twists by: -67 |