Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30380a |
Isogeny class |
Conductor |
30380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-935548728271082240 = -1 · 28 · 5 · 77 · 316 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,123219,43415401] |
[a1,a2,a3,a4,a6] |
Generators |
[46660:1459759:64] |
Generators of the group modulo torsion |
j |
6869498322944/31062628835 |
j-invariant |
L |
3.4161773310437 |
L(r)(E,1)/r! |
Ω |
0.2000743596975 |
Real period |
R |
2.1343172959598 |
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 |
121520bt2 4340a2 |
Quadratic twists by: -4 -7 |