Atkin-Lehner |
3+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945g |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4346286800625 = 32 · 54 · 72 · 112 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-694925,222684842] |
[a1,a2,a3,a4,a6] |
Generators |
[177:10171:1] |
Generators of the group modulo torsion |
j |
37113982483258506949201/4346286800625 |
j-invariant |
L |
2.5302078177286 |
L(r)(E,1)/r! |
Ω |
0.60181388269146 |
Real period |
R |
2.1021514213106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
65835n2 109725bv2 |
Quadratic twists by: -3 5 |