Atkin-Lehner |
5+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025f |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
-1714751754939453125 = -1 · 59 · 7 · 195 · 373 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -2 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2600151,-1615231677] |
[a1,a2,a3,a4,a6] |
Generators |
[2103:46049:1] |
Generators of the group modulo torsion |
j |
-124422566434322633569/109744112316125 |
j-invariant |
L |
5.8043410554882 |
L(r)(E,1)/r! |
Ω |
0.05944248622794 |
Real period |
R |
3.2548779213794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999569833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24605a1 |
Quadratic twists by: 5 |