Atkin-Lehner |
3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759g |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
187681378895407449 = 310 · 137 · 373 |
Discriminant |
Eigenvalues |
-1 3+ -2 -2 -4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2332119,1369670076] |
[a1,a2,a3,a4,a6] |
Generators |
[646:11219:1] [873:-289:1] |
Generators of the group modulo torsion |
j |
290613464285776633/38883116961 |
j-invariant |
L |
3.3531795754796 |
L(r)(E,1)/r! |
Ω |
0.30773709006388 |
Real period |
R |
3.6320825836346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56277k1 1443d1 |
Quadratic twists by: -3 13 |