Atkin-Lehner |
2+ 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30552i |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33603289344 = 28 · 34 · 192 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1724,25536] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:228:1] |
Generators of the group modulo torsion |
j |
2214865803472/131262849 |
j-invariant |
L |
4.1186990696844 |
L(r)(E,1)/r! |
Ω |
1.1465374743337 |
Real period |
R |
1.7961467295598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61104d2 91656o2 |
Quadratic twists by: -4 -3 |