Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340u |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
51744000 = 28 · 3 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37445,2801457] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1:1] |
Generators of the group modulo torsion |
j |
462893166690304/4125 |
j-invariant |
L |
4.6259978970031 |
L(r)(E,1)/r! |
Ω |
1.389794091352 |
Real period |
R |
1.1095163726743 |
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 |
129360hs2 97020bn2 32340y2 |
Quadratic twists by: -4 -3 -7 |