Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270g |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-30955750 = -1 · 2 · 53 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-178,882] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
-1742943169/85750 |
j-invariant |
L |
5.5063275002169 |
L(r)(E,1)/r! |
Ω |
2.0634871278154 |
Real period |
R |
0.88948580067736 |
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 |
126350co2 25270r2 |
Quadratic twists by: 5 -19 |