Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cz |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-373464985600 = -1 · 212 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-30400] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1128:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
11.218394221533 |
L(r)(E,1)/r! |
Ω |
0.39953478760804 |
Real period |
R |
3.5098302236447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7595h1 2480j1 |
Quadratic twists by: -4 -7 |