Atkin-Lehner |
2- 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360ba |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-2126615552000 = -1 · 213 · 53 · 373 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2680,89072] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-296:1] [4:280:1] |
Generators of the group modulo torsion |
j |
-519912412921/519193250 |
j-invariant |
L |
10.166948462519 |
L(r)(E,1)/r! |
Ω |
0.75097440895901 |
Real period |
R |
0.37606505856184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15170g1 |
Quadratic twists by: -4 |