Atkin-Lehner |
2+ 3- 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210m |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92017771875000 = 23 · 34 · 58 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15510603,23510791006] |
[a1,a2,a3,a4,a6] |
Generators |
[2180:6597:1] |
Generators of the group modulo torsion |
j |
412676480505082862244513961/92017771875000 |
j-invariant |
L |
5.0821071533853 |
L(r)(E,1)/r! |
Ω |
0.35271862899602 |
Real period |
R |
1.8010486034758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630bv4 |
Quadratic twists by: -3 |