Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338m |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-132737418912331008 = -1 · 28 · 33 · 797 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -3 5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-384992,-93504125] |
[a1,a2,a3,a4,a6] |
Generators |
[3733:222809:1] |
Generators of the group modulo torsion |
j |
-961504803/20224 |
j-invariant |
L |
6.1626711988616 |
L(r)(E,1)/r! |
Ω |
0.095711866708218 |
Real period |
R |
1.0060585058039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338c1 1422e1 |
Quadratic twists by: -3 -79 |