Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cn |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
294 |
Product of Tamagawa factors cp |
deg |
13335840 |
Modular degree for the optimal curve |
Δ |
-3.0837178084692E+24 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-282945650,-1833968895361] |
[a1,a2,a3,a4,a6] |
Generators |
[179469:75593587:1] |
Generators of the group modulo torsion |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
8.0862447162166 |
L(r)(E,1)/r! |
Ω |
0.018403980007128 |
Real period |
R |
1.4944720499563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ce1 858k1 |
Quadratic twists by: -3 -7 |