Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992c |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-4.4334504263625E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 1 5 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21492,-320350896] |
[a1,a2,a3,a4,a6] |
Generators |
[7051056:253703772:4913] |
Generators of the group modulo torsion |
j |
1702209384/68738591551 |
j-invariant |
L |
6.665030598587 |
L(r)(E,1)/r! |
Ω |
0.093282248185693 |
Real period |
R |
8.9312687593292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999496176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992w1 62496x1 124992a1 |
Quadratic twists by: -4 8 -3 |