Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bl |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
244272633373125 = 37 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -5 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27358,-1561932] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:171:1] |
Generators of the group modulo torsion |
j |
30798131200/3322053 |
j-invariant |
L |
2.7064928772488 |
L(r)(E,1)/r! |
Ω |
0.37381114840717 |
Real period |
R |
1.8100670070351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998923846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925cb1 16275x1 |
Quadratic twists by: 5 -7 |