Atkin-Lehner |
2- 3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bd |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
1400 |
Product of Tamagawa factors cp |
deg |
679257600 |
Modular degree for the optimal curve |
Δ |
-4.3082507968813E+32 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 -1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-153836096402,-23245340645624687] |
[a1,a2,a3,a4,a6] |
j |
-20455362159569980506142961077267227/21888181663777322343577157632 |
j-invariant |
L |
5.3358691050674 |
L(r)(E,1)/r! |
Ω |
0.0038113350800259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042a1 |
Quadratic twists by: -3 |