Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bi |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3931200 |
Modular degree for the optimal curve |
Δ |
-4.4377137472635E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-631513,-1032038344] |
[a1,a2,a3,a4,a6] |
Generators |
[459904381717070:51567683416825547:36100597625] |
Generators of the group modulo torsion |
j |
-50484749/804357 |
j-invariant |
L |
3.6873021163316 |
L(r)(E,1)/r! |
Ω |
0.071706979340971 |
Real period |
R |
25.710901157879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925cx1 113925cr1 |
Quadratic twists by: 5 -7 |