Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192q |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-497588640192 = -1 · 26 · 34 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-478,-34336] |
[a1,a2,a3,a4,a6] |
Generators |
[65:462:1] |
Generators of the group modulo torsion |
j |
-551368000/22667121 |
j-invariant |
L |
8.7267547372907 |
L(r)(E,1)/r! |
Ω |
0.40683436187907 |
Real period |
R |
2.6812984398283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192h1 108192b1 |
Quadratic twists by: -4 -7 |