Atkin-Lehner |
2+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30176c |
Isogeny class |
Conductor |
30176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
158363648 = 212 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ -2 2 4 0 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,-737] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:35:8] |
Generators of the group modulo torsion |
j |
150568768/38663 |
j-invariant |
L |
5.060533994653 |
L(r)(E,1)/r! |
Ω |
1.3330942101719 |
Real period |
R |
3.7960812942099 |
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 |
30176a2 60352r1 |
Quadratic twists by: -4 8 |