Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960dw |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-28533988454400 = -1 · 212 · 311 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6837,136762] |
[a1,a2,a3,a4,a6] |
Generators |
[69:968:1] |
Generators of the group modulo torsion |
j |
11836763639/9555975 |
j-invariant |
L |
7.9538482210779 |
L(r)(E,1)/r! |
Ω |
0.42834535273178 |
Real period |
R |
2.32109680139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6435g1 34320ce1 |
Quadratic twists by: -4 -3 |