Atkin-Lehner |
3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225k |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
34546176 |
Modular degree for the optimal curve |
Δ |
-7.0724710100259E+27 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -1 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2015336908,-35056879194282] |
[a1,a2,a3,a4,a6] |
Generators |
[3772106:2577980921:8] |
Generators of the group modulo torsion |
j |
-57935753764344597320800620544/452638144641656215051875 |
j-invariant |
L |
1.8888702431489 |
L(r)(E,1)/r! |
Ω |
0.01126108045897 |
Real period |
R |
1.9968377453307 |
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 |
90675bg1 6045e1 |
Quadratic twists by: -3 5 |