Atkin-Lehner |
3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225bd |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
3023852751460125 = 37 · 53 · 135 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 5 2 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7872153,-8503984096] |
[a1,a2,a3,a4,a6] |
j |
431612817284032565608448/24190822011681 |
j-invariant |
L |
3.785519262056 |
L(r)(E,1)/r! |
Ω |
0.090131411001414 |
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 |
90675br1 30225t1 |
Quadratic twists by: -3 5 |