Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135x |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2276736 |
Modular degree for the optimal curve |
Δ |
-1.8035723400322E+21 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -2 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2155984,-1639481560] |
[a1,a2,a3,a4,a6] |
Generators |
[1039:41512:1] |
Generators of the group modulo torsion |
j |
192254180071632896/312859427416875 |
j-invariant |
L |
3.3392777604374 |
L(r)(E,1)/r! |
Ω |
0.078345125530668 |
Real period |
R |
0.48434842537758 |
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 |
90405bd1 30135o1 |
Quadratic twists by: -3 -7 |