Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110co |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
700 |
Product of Tamagawa factors cp |
deg |
3494400 |
Modular degree for the optimal curve |
Δ |
-6.341569282048E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,603155,338115537] |
[a1,a2,a3,a4,a6] |
Generators |
[1474:65823:1] |
Generators of the group modulo torsion |
j |
200551121019318996839/524096634880000000 |
j-invariant |
L |
7.7783931511397 |
L(r)(E,1)/r! |
Ω |
0.13760009382503 |
Real period |
R |
0.080755687715095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110bk1 |
Quadratic twists by: -11 |