Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960di |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-5358048943104000000 = -1 · 216 · 39 · 56 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86043,-111791158] |
[a1,a2,a3,a4,a6] |
Generators |
[607:7722:1] [791:17750:1] |
Generators of the group modulo torsion |
j |
-23592983745241/1794399750000 |
j-invariant |
L |
10.504694605624 |
L(r)(E,1)/r! |
Ω |
0.10649973687391 |
Real period |
R |
2.0549140371714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870bw1 34320bm1 |
Quadratic twists by: -4 -3 |