Atkin-Lehner |
2+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35090a |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4140000 |
Modular degree for the optimal curve |
Δ |
-2.862648060176E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31357603,-67600437747] |
[a1,a2,a3,a4,a6] |
Generators |
[97441414509351522015340325321744598102851388:-4503831691189892087705377195882144949929747501:13018084515522204294552287545214163626688] |
Generators of the group modulo torsion |
j |
-2561971243130620197194339/21507498573824000 |
j-invariant |
L |
4.4441648232208 |
L(r)(E,1)/r! |
Ω |
0.031899481505947 |
Real period |
R |
69.658888066759 |
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 |
35090o1 |
Quadratic twists by: -11 |