Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630u |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2869440 |
Modular degree for the optimal curve |
Δ |
-8385277870501070940 = -1 · 22 · 37 · 5 · 618 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-515436,199199340] |
[a1,a2,a3,a4,a6] |
Generators |
[-4962:136437:8] |
Generators of the group modulo torsion |
j |
-78996769/43740 |
j-invariant |
L |
12.884129250504 |
L(r)(E,1)/r! |
Ω |
0.21601698535665 |
Real period |
R |
1.4200965752156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630i1 |
Quadratic twists by: 61 |