Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cs |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8494080 |
Modular degree for the optimal curve |
Δ |
-1.4807482362608E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19859555,34568943697] |
[a1,a2,a3,a4,a6] |
Generators |
[-21898:2103445:8] |
Generators of the group modulo torsion |
j |
-22532578811728623/385176597554 |
j-invariant |
L |
10.86367830021 |
L(r)(E,1)/r! |
Ω |
0.12495646521957 |
Real period |
R |
3.104989481509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650l1 97650j1 |
Quadratic twists by: -3 5 |