Atkin-Lehner |
2- 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109224f |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
94275166464 = 28 · 38 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1551,18290] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:74:1] |
Generators of the group modulo torsion |
j |
2211014608/505161 |
j-invariant |
L |
6.0641536557397 |
L(r)(E,1)/r! |
Ω |
1.0069255806037 |
Real period |
R |
1.5056111724297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36408a1 |
Quadratic twists by: -3 |