Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960bf |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-198152697600 = -1 · 28 · 39 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,21206] |
[a1,a2,a3,a4,a6] |
Generators |
[25:216:1] |
Generators of the group modulo torsion |
j |
35969456/1061775 |
j-invariant |
L |
8.2740924632024 |
L(r)(E,1)/r! |
Ω |
0.75659960082904 |
Real period |
R |
1.3669866559845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51480w1 34320b1 |
Quadratic twists by: -4 -3 |