Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490be |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
20280052262400 = 29 · 3 · 52 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-401066,97595063] |
[a1,a2,a3,a4,a6] |
Generators |
[281:2539:1] |
Generators of the group modulo torsion |
j |
60643335401133841/172377600 |
j-invariant |
L |
8.1745041661126 |
L(r)(E,1)/r! |
Ω |
0.5941685812055 |
Real period |
R |
0.76432705153312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2010k2 |
Quadratic twists by: -7 |