Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bd |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1525289900601600 = 28 · 310 · 52 · 74 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120783,16047218] |
[a1,a2,a3,a4,a6] |
Generators |
[-391:1870:1] [-191:5670:1] |
Generators of the group modulo torsion |
j |
1044175876793296/8173064025 |
j-invariant |
L |
11.256059967516 |
L(r)(E,1)/r! |
Ω |
0.47922177445348 |
Real period |
R |
1.4680129024149 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993439 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440i2 |
Quadratic twists by: -3 |