Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600l |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
171797280000 = 28 · 3 · 54 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2308,-38512] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:60:1] |
Generators of the group modulo torsion |
j |
8501573200/1073733 |
j-invariant |
L |
7.6404254974542 |
L(r)(E,1)/r! |
Ω |
0.69449007359636 |
Real period |
R |
1.8335816421129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200s1 127800bx1 42600p1 |
Quadratic twists by: -4 -3 5 |