Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200if |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
3.971400232905E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170097375,-853874918750] |
[a1,a2,a3,a4,a6] |
Generators |
[-6458079005:-540033606:857375] |
Generators of the group modulo torsion |
j |
12692020761488/9261 |
j-invariant |
L |
6.6147450197756 |
L(r)(E,1)/r! |
Ω |
0.041804705740476 |
Real period |
R |
9.8893547219571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ce1 88200dt1 12600cl1 |
Quadratic twists by: -3 5 -7 |