Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420h |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1523424747600 = 24 · 33 · 52 · 7 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22452,1293521] |
[a1,a2,a3,a4,a6] |
Generators |
[95:134:1] |
Generators of the group modulo torsion |
j |
2897377384808448/3526446175 |
j-invariant |
L |
6.980496678967 |
L(r)(E,1)/r! |
Ω |
0.8453855384339 |
Real period |
R |
0.68809795036141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84420d1 |
Quadratic twists by: -3 |