Atkin-Lehner |
2- 3+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72816i |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
8956368 = 24 · 32 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,-308] |
[a1,a2,a3,a4,a6] |
Generators |
[-820:216:125] |
Generators of the group modulo torsion |
j |
6373654528/559773 |
j-invariant |
L |
7.0343853974359 |
L(r)(E,1)/r! |
Ω |
1.5284869794197 |
Real period |
R |
4.6021886297888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18204a1 |
Quadratic twists by: -4 |