Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320m |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-21725308080 = -1 · 24 · 312 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,609,-3906] |
[a1,a2,a3,a4,a6] |
j |
1558627321856/1357831755 |
j-invariant |
L |
3.9912093385056 |
L(r)(E,1)/r! |
Ω |
0.66520155571855 |
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 |
122640c1 |
Quadratic twists by: -4 |