Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cj |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-14490818138671875 = -1 · 32 · 59 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-328855,72707506] |
[a1,a2,a3,a4,a6] |
Generators |
[590:9187:1] |
Generators of the group modulo torsion |
j |
-33431059521961984/123169921875 |
j-invariant |
L |
7.0379784386531 |
L(r)(E,1)/r! |
Ω |
0.39698544743938 |
Real period |
R |
0.49245986833272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015c1 |
Quadratic twists by: -7 |