Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bq |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2443623325237248 = -1 · 218 · 3 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80033,9060129] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2528:1] |
Generators of the group modulo torsion |
j |
-765625/33 |
j-invariant |
L |
6.3087783868464 |
L(r)(E,1)/r! |
Ω |
0.45436517793642 |
Real period |
R |
3.4712048142471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488hn1 1617e1 103488cm1 |
Quadratic twists by: -4 8 -7 |