Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440bp |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
24272765337600 = 214 · 36 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25656,-1555344] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:16:1] [-94:130:1] |
Generators of the group modulo torsion |
j |
455981824961209/5925968100 |
j-invariant |
L |
9.4226613740608 |
L(r)(E,1)/r! |
Ω |
0.37752209574984 |
Real period |
R |
2.0799359558026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430t1 |
Quadratic twists by: -4 |