Atkin-Lehner |
2- 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72358i |
Isogeny class |
Conductor |
72358 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10720512 |
Modular degree for the optimal curve |
Δ |
-8.8338094192092E+23 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11+ 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90627208,335162303963] |
[a1,a2,a3,a4,a6] |
Generators |
[-259832721:7502767037:24389] |
Generators of the group modulo torsion |
j |
-34911245510642134899/374639753584304 |
j-invariant |
L |
8.7800232612683 |
L(r)(E,1)/r! |
Ω |
0.089113514254605 |
Real period |
R |
12.315785283959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72358a1 |
Quadratic twists by: -11 |