Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960by |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-734986137600 = -1 · 212 · 33 · 52 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1317,-36918] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-520:1] |
Generators of the group modulo torsion |
j |
2284322013/6645925 |
j-invariant |
L |
6.2246566255212 |
L(r)(E,1)/r! |
Ω |
0.46214644618789 |
Real period |
R |
0.56120888733488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6435b1 102960co1 |
Quadratic twists by: -4 -3 |