Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490df |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
2970 |
Product of Tamagawa factors cp |
deg |
9979200 |
Modular degree for the optimal curve |
Δ |
-8.6247828865585E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-225995676,-1308452427504] |
[a1,a2,a3,a4,a6] |
j |
-44694151057272491356949809/30197762286189281280 |
j-invariant |
L |
6.4245227004423 |
L(r)(E,1)/r! |
Ω |
0.019468250607456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106470cw1 35490bp1 |
Quadratic twists by: -3 13 |