Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099u |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
13141440 |
Modular degree for the optimal curve |
Δ |
-4.5175173635079E+23 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18328669,-11553720685] |
[a1,a2,a3,a4,a6] |
Generators |
[191451:83694805:1] |
Generators of the group modulo torsion |
j |
5787996915620207558375/3839826401846122257 |
j-invariant |
L |
11.220426404646 |
L(r)(E,1)/r! |
Ω |
0.053413129515937 |
Real period |
R |
2.6931884082227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999522534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451c1 |
Quadratic twists by: -7 |