Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800s |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-3228012000000 = -1 · 28 · 39 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129900,18020500] |
[a1,a2,a3,a4,a6] |
Generators |
[-415:675:1] [206:-54:1] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
9.0778849128801 |
L(r)(E,1)/r! |
Ω |
0.72580091523515 |
Real period |
R |
0.39085635961014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bg1 2952g1 |
Quadratic twists by: -3 5 |