Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430t |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-2.595521246847E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1778310,-1197034700] |
[a1,a2,a3,a4,a6] |
Generators |
[493893226284:311570665834:310288733] |
Generators of the group modulo torsion |
j |
-17410957409801706289/7266093465600000 |
j-invariant |
L |
4.536512449024 |
L(r)(E,1)/r! |
Ω |
0.064059250222322 |
Real period |
R |
17.70436132674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33810cm1 101430bt1 |
Quadratic twists by: -3 -7 |