Atkin-Lehner |
3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135p |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
2.7492364161948E+25 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-400883765,-3078961407712] |
[a1,a2,a3,a4,a6] |
j |
25223114924944726687744/97326630419035005 |
j-invariant |
L |
1.8223823083476 |
L(r)(E,1)/r! |
Ω |
0.033747820524956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405k1 30135t1 |
Quadratic twists by: -3 -7 |