Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970o |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
163585942740 = 22 · 35 · 5 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59590082,-177080195376] |
[a1,a2,a3,a4,a6] |
Generators |
[480762725:61016441323:24389] |
Generators of the group modulo torsion |
j |
13209596798923694545921/92340 |
j-invariant |
L |
3.6574979264571 |
L(r)(E,1)/r! |
Ω |
0.054338301349629 |
Real period |
R |
16.827439554179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000007727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570i4 |
Quadratic twists by: -11 |