Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752j |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-9.137014495084E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,717248,-395792080] |
[a1,a2,a3,a4,a6] |
Generators |
[9981020:108709425:21952] |
Generators of the group modulo torsion |
j |
22494434350748/50367250791 |
j-invariant |
L |
8.0750556117043 |
L(r)(E,1)/r! |
Ω |
0.098873307683389 |
Real period |
R |
5.8336238572823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504b1 113256bp1 3432h1 |
Quadratic twists by: -4 -3 -11 |