Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bd |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-685442839032 = -1 · 23 · 39 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,873,-38795] |
[a1,a2,a3,a4,a6] |
j |
857375/7992 |
j-invariant |
L |
0.89600076942799 |
L(r)(E,1)/r! |
Ω |
0.44800038471609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bh1 666c1 |
Quadratic twists by: -3 -7 |