Atkin-Lehner |
3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225j |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80352 |
Modular degree for the optimal curve |
Δ |
-2477439668925 = -1 · 39 · 52 · 132 · 313 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -4 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40410,3110805] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-27:1] |
Generators of the group modulo torsion |
j |
-291922148818393105/99097586757 |
j-invariant |
L |
5.8877600036933 |
L(r)(E,1)/r! |
Ω |
0.798290802245 |
Real period |
R |
1.2292429415311 |
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 |
90675bf1 30225be1 |
Quadratic twists by: -3 5 |