Atkin-Lehner |
2+ 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414n |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-24793926623392192 = -1 · 26 · 77 · 234 · 412 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57111,9214202] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:3828:1] [-90:3736:1] |
Generators of the group modulo torsion |
j |
-175099068033625/210744899008 |
j-invariant |
L |
5.3097080932353 |
L(r)(E,1)/r! |
Ω |
0.342026339081 |
Real period |
R |
1.9405333326989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202g1 |
Quadratic twists by: -7 |