Atkin-Lehner |
2+ 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658bm |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-19644346714608 = -1 · 24 · 32 · 77 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5364,-149894] |
[a1,a2,a3,a4,a6] |
Generators |
[29:159:1] [74:-846:1] |
Generators of the group modulo torsion |
j |
145116956375/166974192 |
j-invariant |
L |
10.784618645852 |
L(r)(E,1)/r! |
Ω |
0.36884069233986 |
Real period |
R |
3.654904024031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094g1 |
Quadratic twists by: -7 |