Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488l |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5505024 |
Modular degree for the optimal curve |
Δ |
-3.2115745440567E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14129313,-20618619615] |
[a1,a2,a3,a4,a6] |
j |
-29489309167375/303595776 |
j-invariant |
L |
0.31128824743348 |
L(r)(E,1)/r! |
Ω |
0.038911032922153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488if1 3234m1 103488cu1 |
Quadratic twists by: -4 8 -7 |