Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488db |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-1221811662618624 = -1 · 217 · 3 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-1684257] |
[a1,a2,a3,a4,a6] |
Generators |
[23241:679888:27] |
Generators of the group modulo torsion |
j |
-98/33 |
j-invariant |
L |
6.2089723387865 |
L(r)(E,1)/r! |
Ω |
0.21753872763411 |
Real period |
R |
7.1354792732993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gg1 12936r1 103488b1 |
Quadratic twists by: -4 8 -7 |