Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bv |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
240874910720 = 210 · 5 · 196 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2888,54872] |
[a1,a2,a3,a4,a6] |
Generators |
[2451:19855:27] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
7.3505197162381 |
L(r)(E,1)/r! |
Ω |
0.96321400393124 |
Real period |
R |
3.8156212869986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520j1 28880h1 320a1 |
Quadratic twists by: -4 8 -19 |