Atkin-Lehner |
2+ 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810a |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.0031939378948E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,299021182,1729535750388] |
[a1,a2,a3,a4,a6] |
Generators |
[-11449189966282916:17802795299348169394:14560745952059] |
Generators of the group modulo torsion |
j |
2956851892818619551263411433431/3003193937894820601680000000 |
j-invariant |
L |
2.2830558219706 |
L(r)(E,1)/r! |
Ω |
0.029728913885713 |
Real period |
R |
19.198950815588 |
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 |
102480by2 38430bn2 64050ck2 89670ba2 |
Quadratic twists by: -4 -3 5 -7 |