Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37240n |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1502549262242000 = 24 · 53 · 78 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105938,-13139987] |
[a1,a2,a3,a4,a6] |
Generators |
[10822:1125285:1] |
Generators of the group modulo torsion |
j |
69850705729536/798216125 |
j-invariant |
L |
3.7147940817288 |
L(r)(E,1)/r! |
Ω |
0.26481133023726 |
Real period |
R |
7.0140391621483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480j1 5320h1 |
Quadratic twists by: -4 -7 |