Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bp |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
129729600 |
Modular degree for the optimal curve |
Δ |
-4.1630179659887E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38193269248,-2874631789957042] |
[a1,a2,a3,a4,a6] |
Generators |
[550916469168030884984:-514674432477718869570365:600848365809887] |
Generators of the group modulo torsion |
j |
-44694151057272491356949809/30197762286189281280 |
j-invariant |
L |
5.2378882107011 |
L(r)(E,1)/r! |
Ω |
0.0053995212160588 |
Real period |
R |
32.335510261682 |
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 |
106470ee1 35490df1 |
Quadratic twists by: -3 13 |