Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380c |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-1.8479983725124E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261387,200329713] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:11961:1] |
Generators of the group modulo torsion |
j |
6271398385281792/58680027578125 |
j-invariant |
L |
3.303519253858 |
L(r)(E,1)/r! |
Ω |
0.15973052588705 |
Real period |
R |
5.1704569855763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70380q1 |
Quadratic twists by: -3 |