Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722f |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
202552965858204 = 22 · 39 · 137 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -3 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32226,-2110744] |
[a1,a2,a3,a4,a6] |
Generators |
[322:-4724:1] |
Generators of the group modulo torsion |
j |
38958219/2132 |
j-invariant |
L |
4.2650437783823 |
L(r)(E,1)/r! |
Ω |
0.35754069288249 |
Real period |
R |
1.4911043143128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bh1 9594o1 |
Quadratic twists by: -3 13 |