Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568u |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3340800 |
Modular degree for the optimal curve |
Δ |
-2.1647228915526E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 3 0 7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1958151,1270207114] |
[a1,a2,a3,a4,a6] |
Generators |
[749:14958:1] |
Generators of the group modulo torsion |
j |
-3250059460986832/847288609443 |
j-invariant |
L |
6.9254672885323 |
L(r)(E,1)/r! |
Ω |
0.1687285528681 |
Real period |
R |
5.1306278491479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856f1 98568e1 |
Quadratic twists by: -3 37 |