Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690n |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
38453610937500 = 22 · 38 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9819,228825] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:522:1] [-84:717:1] |
Generators of the group modulo torsion |
j |
143622619359409/52748437500 |
j-invariant |
L |
6.3509679662007 |
L(r)(E,1)/r! |
Ω |
0.59266146542609 |
Real period |
R |
0.33487540614958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bc2 |
Quadratic twists by: -3 |