Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370ce |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
125337600 |
Modular degree for the optimal curve |
Δ |
-5.5597883591624E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4346026801,-110337597368881] |
[a1,a2,a3,a4,a6] |
Generators |
[611400713:-816024640080:343] |
Generators of the group modulo torsion |
j |
-76552718951074800841217/46883277813841920 |
j-invariant |
L |
9.3573505700941 |
L(r)(E,1)/r! |
Ω |
0.0092967361749254 |
Real period |
R |
11.183555173532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370dm1 |
Quadratic twists by: 17 |