Atkin-Lehner |
2+ 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920t |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
91 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-16995483180000000 = -1 · 28 · 313 · 57 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440825,112681875] |
[a1,a2,a3,a4,a6] |
Generators |
[550:6075:1] |
Generators of the group modulo torsion |
j |
-37006957431364258816/66388606171875 |
j-invariant |
L |
10.818768364029 |
L(r)(E,1)/r! |
Ω |
0.39016272208089 |
Real period |
R |
0.30471277387733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999269128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63960k1 |
Quadratic twists by: -4 |