Atkin-Lehner |
7- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74333c |
Isogeny class |
Conductor |
74333 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
11100518332001 = 76 · 372 · 413 |
Discriminant |
Eigenvalues |
1 0 2 7- 4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70961,7291752] |
[a1,a2,a3,a4,a6] |
j |
335890789988697/94352849 |
j-invariant |
L |
0.7022931244609 |
L(r)(E,1)/r! |
Ω |
0.70229314847169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1517a1 |
Quadratic twists by: -7 |