Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37240q |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
166487452880 = 24 · 5 · 78 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3691,82830] |
[a1,a2,a3,a4,a6] |
Generators |
[11:209:1] |
Generators of the group modulo torsion |
j |
2955053056/88445 |
j-invariant |
L |
4.1973636474117 |
L(r)(E,1)/r! |
Ω |
1.0150776277453 |
Real period |
R |
2.067508697209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480m1 5320g1 |
Quadratic twists by: -4 -7 |