Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768j |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8374530998976 = -1 · 26 · 3 · 17 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -3 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1837,-141881] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1057:1] [10026:354571:8] |
Generators of the group modulo torsion |
j |
-10717848174592/130852046859 |
j-invariant |
L |
8.6706032033706 |
L(r)(E,1)/r! |
Ω |
0.31367442237946 |
Real period |
R |
13.82102361929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768dn2 1887c2 |
Quadratic twists by: -4 8 |