Atkin-Lehner |
3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225o |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-21251953125 = -1 · 33 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 3 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-763,10406] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-68:1] |
Generators of the group modulo torsion |
j |
-25153757/10881 |
j-invariant |
L |
2.0521818907564 |
L(r)(E,1)/r! |
Ω |
1.1332675896196 |
Real period |
R |
0.90542688662141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675bs1 30225bj1 |
Quadratic twists by: -3 5 |