Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410k |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-51481114130250 = -1 · 2 · 36 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216540,-38731694] |
[a1,a2,a3,a4,a6] |
Generators |
[187361:81005522:1] |
Generators of the group modulo torsion |
j |
-5452947409/250 |
j-invariant |
L |
2.4441331729713 |
L(r)(E,1)/r! |
Ω |
0.11065823457539 |
Real period |
R |
11.043611812306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280ej2 490i2 22050ej2 4410o2 |
Quadratic twists by: -4 -3 5 -7 |