Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ds |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-14208053723136 = -1 · 214 · 34 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4443,-139581] |
[a1,a2,a3,a4,a6] |
Generators |
[30:147:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
7.0098644711274 |
L(r)(E,1)/r! |
Ω |
0.37314445750103 |
Real period |
R |
1.1741204181822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fr1 15288h1 17472q1 |
Quadratic twists by: -4 8 -7 |