Atkin-Lehner |
5+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075h |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-2.0089873641968E+20 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 2 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1404749,233298273] |
[a1,a2,a3,a4,a6] |
Generators |
[406:139443:8] |
Generators of the group modulo torsion |
j |
19620059737391336159/12857519130859375 |
j-invariant |
L |
3.8610025479906 |
L(r)(E,1)/r! |
Ω |
0.11172544426044 |
Real period |
R |
2.8798293400865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20615e1 |
Quadratic twists by: 5 |