Atkin-Lehner |
2- 3+ 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978h |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2268000 |
Modular degree for the optimal curve |
Δ |
-2.8975093764175E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 6 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,113988,818888349] |
[a1,a2,a3,a4,a6] |
Generators |
[-5307:761017:27] |
Generators of the group modulo torsion |
j |
163795088554066363967/289750937641750196352 |
j-invariant |
L |
8.4610835307457 |
L(r)(E,1)/r! |
Ω |
0.13568937070752 |
Real period |
R |
8.9080390923399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934g1 |
Quadratic twists by: -3 |