Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488cf |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
-1.8874267292895E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1270145,-860083839] |
[a1,a2,a3,a4,a6] |
Generators |
[1475:21756:1] |
Generators of the group modulo torsion |
j |
-7347774183121/6119866368 |
j-invariant |
L |
2.4765106609446 |
L(r)(E,1)/r! |
Ω |
0.068682599556113 |
Real period |
R |
4.5071653819181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999211348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488id1 3234u1 14784bn1 |
Quadratic twists by: -4 8 -7 |