Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1848b |
Isogeny class |
Conductor |
1848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8503584240439056384 = -1 · 211 · 33 · 72 · 1112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-534072,-205375860] |
[a1,a2,a3,a4,a6] |
Generators |
[119305:1548316:125] |
Generators of the group modulo torsion |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
2.8456276537344 |
L(r)(E,1)/r! |
Ω |
0.086241271545556 |
Real period |
R |
5.4993539302337 |
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 |
3696i4 14784bf4 5544t4 46200cu3 |
Quadratic twists by: -4 8 -3 5 |