Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640s |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
261381120 |
Modular degree for the optimal curve |
Δ |
-3.157670578839E+30 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 3 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523472003,98438059332002] |
[a1,a2,a3,a4,a6] |
Generators |
[11274159:7237295884:27] |
Generators of the group modulo torsion |
j |
-81827458276332553146/145394071242004375 |
j-invariant |
L |
12.988710382506 |
L(r)(E,1)/r! |
Ω |
0.022551731479514 |
Real period |
R |
2.1174698573501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47320g1 94640be1 |
Quadratic twists by: -4 13 |