Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bf |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-236469554151971616 = -1 · 25 · 311 · 77 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178614,-37259244] |
[a1,a2,a3,a4,a6] |
j |
-7347774183121/2757144096 |
j-invariant |
L |
2.7356374538769 |
L(r)(E,1)/r! |
Ω |
0.11398489391143 |
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 |
10878bv1 4662d1 |
Quadratic twists by: -3 -7 |