Atkin-Lehner |
2+ 3+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850o |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-14606250000 = -1 · 24 · 3 · 58 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 0 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-200,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:420:1] |
Generators of the group modulo torsion |
j |
-2282665/37392 |
j-invariant |
L |
4.6683531782519 |
L(r)(E,1)/r! |
Ω |
0.53627409587896 |
Real period |
R |
1.4508604068414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850ci1 |
Quadratic twists by: 5 |