Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700c |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3198487500000000 = -1 · 28 · 39 · 511 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10800,2686500] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:1350:1] |
Generators of the group modulo torsion |
j |
1769472/40625 |
j-invariant |
L |
4.8571842867582 |
L(r)(E,1)/r! |
Ω |
0.33582267416113 |
Real period |
R |
1.2052949022604 |
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 |
46800ce1 11700d1 2340a1 |
Quadratic twists by: -4 -3 5 |