Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5700i |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
259706250000 = 24 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1958,-21963] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:75:1] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
3.639620826263 |
L(r)(E,1)/r! |
Ω |
0.73527747272804 |
Real period |
R |
1.6499987924102 |
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 |
22800dt1 91200et1 17100bd1 5700l1 |
Quadratic twists by: -4 8 -3 5 |