Atkin-Lehner |
3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30129a |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
48731704929897 = 3 · 119 · 832 |
Discriminant |
Eigenvalues |
1 3+ -4 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23597,-1364040] |
[a1,a2,a3,a4,a6] |
Generators |
[42998:3129865:8] |
Generators of the group modulo torsion |
j |
616295051/20667 |
j-invariant |
L |
3.8568587028505 |
L(r)(E,1)/r! |
Ω |
0.38598990717786 |
Real period |
R |
9.9921231906026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90387h2 30129b2 |
Quadratic twists by: -3 -11 |