Atkin-Lehner |
3+ 5- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825j |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-3049744921875 = -1 · 35 · 58 · 192 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2833,103068] |
[a1,a2,a3,a4,a6] |
Generators |
[42:237:1] [186:1771:8] |
Generators of the group modulo torsion |
j |
-6439567360/7807347 |
j-invariant |
L |
8.2836185652229 |
L(r)(E,1)/r! |
Ω |
0.7240949223308 |
Real period |
R |
1.9066603723136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825w1 |
Quadratic twists by: 5 |