Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bl |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-879693856768 = -1 · 216 · 194 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 0 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3713,-99329] |
[a1,a2,a3,a4,a6] |
Generators |
[90:551:1] |
Generators of the group modulo torsion |
j |
-86404346500/13423063 |
j-invariant |
L |
3.1914424109883 |
L(r)(E,1)/r! |
Ω |
0.30319942482064 |
Real period |
R |
2.6314713949589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998666883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125248k1 31312b1 |
Quadratic twists by: -4 8 |