Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cm |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-59022577540800 = -1 · 26 · 39 · 52 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20792,1216891] |
[a1,a2,a3,a4,a6] |
Generators |
[139:929:1] |
Generators of the group modulo torsion |
j |
-26946027/1600 |
j-invariant |
L |
13.561193639555 |
L(r)(E,1)/r! |
Ω |
0.6163615787124 |
Real period |
R |
0.30558347423493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999497012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210a1 123210b1 |
Quadratic twists by: -3 37 |