Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258n |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1441876006207926 = -1 · 2 · 321 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2083,1826043] |
[a1,a2,a3,a4,a6] |
Generators |
[84710:1571151:1000] |
Generators of the group modulo torsion |
j |
19902511/28697814 |
j-invariant |
L |
8.7089562605058 |
L(r)(E,1)/r! |
Ω |
0.37502162573951 |
Real period |
R |
2.9028180186051 |
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 |
10086a2 30258m2 |
Quadratic twists by: -3 41 |