Atkin-Lehner |
3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94017i |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1537536 |
Modular degree for the optimal curve |
Δ |
543597089473674621 = 37 · 7 · 1110 · 372 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 11- -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-897981,-325302550] |
[a1,a2,a3,a4,a6] |
Generators |
[-4406:11025:8] |
Generators of the group modulo torsion |
j |
3087441854464/20958021 |
j-invariant |
L |
2.2350116484969 |
L(r)(E,1)/r! |
Ω |
0.1551530708861 |
Real period |
R |
7.2026020437374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94017a1 |
Quadratic twists by: -11 |