Atkin-Lehner |
2+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
105152l |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-79137723430706176 = -1 · 210 · 317 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 0 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162404,-28596664] |
[a1,a2,a3,a4,a6] |
Generators |
[4765:327701:1] |
Generators of the group modulo torsion |
j |
-462608832626848512/77282933037799 |
j-invariant |
L |
4.3401912202136 |
L(r)(E,1)/r! |
Ω |
0.1178326995169 |
Real period |
R |
2.6309645745054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152p1 6572e1 |
Quadratic twists by: -4 8 |