Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ce |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-2.5671424564014E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17811342,37837810516] |
[a1,a2,a3,a4,a6] |
Generators |
[204505:14190886:125] |
Generators of the group modulo torsion |
j |
-1371532516387188269425/563433186590157312 |
j-invariant |
L |
2.5399385111694 |
L(r)(E,1)/r! |
Ω |
0.09223243205987 |
Real period |
R |
6.8846132928159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450cc1 64350ea1 |
Quadratic twists by: -3 5 |