Atkin-Lehner |
3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225t |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4233600 |
Modular degree for the optimal curve |
Δ |
4.7247699241564E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- -5 2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-196803833,-1062604404307] |
[a1,a2,a3,a4,a6] |
j |
431612817284032565608448/24190822011681 |
j-invariant |
L |
1.2092397714401 |
L(r)(E,1)/r! |
Ω |
0.040307992381427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675cf1 30225bd1 |
Quadratic twists by: -3 5 |