Atkin-Lehner |
2+ 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72358h |
Isogeny class |
Conductor |
72358 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-11460011195528038 = -1 · 2 · 118 · 133 · 233 |
Discriminant |
Eigenvalues |
2+ -2 0 5 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-839501,296034726] |
[a1,a2,a3,a4,a6] |
j |
-305242597515625/53461798 |
j-invariant |
L |
1.1715984085925 |
L(r)(E,1)/r! |
Ω |
0.39053280138427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72358n1 |
Quadratic twists by: -11 |