Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400w |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
49358608031250000 = 24 · 38 · 59 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181083,27726912] |
[a1,a2,a3,a4,a6] |
Generators |
[111:2997:1] |
Generators of the group modulo torsion |
j |
21014019516416/1579475457 |
j-invariant |
L |
4.5797259049528 |
L(r)(E,1)/r! |
Ω |
0.34925702815279 |
Real period |
R |
3.2781916583278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400eb1 |
Quadratic twists by: 5 |