Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120o |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1631347200 = 29 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2360,-43308] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:6:1] |
Generators of the group modulo torsion |
j |
2840362499528/3186225 |
j-invariant |
L |
6.3187074209749 |
L(r)(E,1)/r! |
Ω |
0.68499195546316 |
Real period |
R |
1.1530623408318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120z2 114240ix2 |
Quadratic twists by: -4 8 |