Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960em |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-7.7683783567104E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145114707,-674180321006] |
[a1,a2,a3,a4,a6] |
Generators |
[18863:1816650:1] |
Generators of the group modulo torsion |
j |
-113180217375258301213009/260161419375000000 |
j-invariant |
L |
6.9477259835221 |
L(r)(E,1)/r! |
Ω |
0.021746125559175 |
Real period |
R |
3.9936573812837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870s1 34320bs1 |
Quadratic twists by: -4 -3 |