Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352c |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
291448228032 = 26 · 39 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26404,1660030] |
[a1,a2,a3,a4,a6] |
j |
31810416711462208/4553878563 |
j-invariant |
L |
0.93937578202558 |
L(r)(E,1)/r! |
Ω |
0.93937563938995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352w1 46176m2 |
Quadratic twists by: -4 8 |