Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258b |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-122667147929591136 = -1 · 25 · 39 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -4 5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,110631,9102221] |
[a1,a2,a3,a4,a6] |
Generators |
[14945:605252:125] |
Generators of the group modulo torsion |
j |
1601613/1312 |
j-invariant |
L |
5.1497801908121 |
L(r)(E,1)/r! |
Ω |
0.21366552955194 |
Real period |
R |
3.012757954928 |
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 |
30258j1 738a1 |
Quadratic twists by: -3 41 |