Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545z |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-58678209140625 = -1 · 32 · 57 · 193 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -1 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10201,540530] |
[a1,a2,a3,a4,a6] |
Generators |
[11:650:1] |
Generators of the group modulo torsion |
j |
-17115666389011/8554921875 |
j-invariant |
L |
4.4889108156152 |
L(r)(E,1)/r! |
Ω |
0.58282090954938 |
Real period |
R |
0.64183678755139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124545d1 |
Quadratic twists by: -19 |