Atkin-Lehner |
2+ 3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022l |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9484800 |
Modular degree for the optimal curve |
Δ |
-4.3187504297215E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20640312,-37453992938] |
[a1,a2,a3,a4,a6] |
Generators |
[1109545:-87041937:125] |
Generators of the group modulo torsion |
j |
-91702734166020349/4072564180368 |
j-invariant |
L |
7.3246182616031 |
L(r)(E,1)/r! |
Ω |
0.035323561556784 |
Real period |
R |
2.5919732957494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022w1 |
Quadratic twists by: 13 |