Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3146n |
Isogeny class |
Conductor |
3146 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1370026069984 = -1 · 25 · 117 · 133 |
Discriminant |
Eigenvalues |
2- -2 3 1 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-789,-57023] |
[a1,a2,a3,a4,a6] |
Generators |
[54:215:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
4.255892219837 |
L(r)(E,1)/r! |
Ω |
0.37065517358076 |
Real period |
R |
0.57410398170386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168bc1 100672bv1 28314x1 78650t1 |
Quadratic twists by: -4 8 -3 5 |