Atkin-Lehner |
2+ 3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030h |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-2.3837364409098E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,63973,-234793059] |
[a1,a2,a3,a4,a6] |
j |
28953645767800656839/23837364409098240000 |
j-invariant |
L |
1.1934903508162 |
L(r)(E,1)/r! |
Ω |
0.099457529234591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090cz1 |
Quadratic twists by: -3 |