Atkin-Lehner |
2- 3+ 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294n |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-1776348 = -1 · 22 · 32 · 72 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[38:61:8] |
Generators of the group modulo torsion |
j |
37595375/1776348 |
j-invariant |
L |
6.3494584943268 |
L(r)(E,1)/r! |
Ω |
1.2683822943536 |
Real period |
R |
2.5029750583052 |
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 |
126882i1 |
Quadratic twists by: -3 |