Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dm |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-253318923646304256 = -1 · 215 · 36 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 4 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-553644,160398576] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:17576:1] |
Generators of the group modulo torsion |
j |
-74088 |
j-invariant |
L |
3.5964056588183 |
L(r)(E,1)/r! |
Ω |
0.31237115960381 |
Real period |
R |
1.4391556165766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344dl1 48672ca1 10816u1 97344di1 |
Quadratic twists by: -4 8 -3 13 |