Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bl |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-39920040000000 = -1 · 29 · 36 · 57 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 5 -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1089,304573] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:569:1] |
Generators of the group modulo torsion |
j |
-143186041/40000000 |
j-invariant |
L |
6.0787748525746 |
L(r)(E,1)/r! |
Ω |
0.52565317917461 |
Real period |
R |
0.82601651069503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690g1 123210ct1 |
Quadratic twists by: -3 37 |