Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bg |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-5.0180852250886E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3532328,2579093616] |
[a1,a2,a3,a4,a6] |
Generators |
[1028:5760:1] |
Generators of the group modulo torsion |
j |
-29489309167375/303595776 |
j-invariant |
L |
4.446673760234 |
L(r)(E,1)/r! |
Ω |
0.20128562340811 |
Real period |
R |
2.7614203668302 |
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 |
3234m1 103488if1 77616fx1 25872ck1 |
Quadratic twists by: -4 8 -3 -7 |