Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bh |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
108972864 = 26 · 35 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-215,1082] |
[a1,a2,a3,a4,a6] |
Generators |
[15:28:1] [-9:52:1] |
Generators of the group modulo torsion |
j |
22281070777/2223936 |
j-invariant |
L |
7.0142636340122 |
L(r)(E,1)/r! |
Ω |
1.8248856289139 |
Real period |
R |
0.38436730077089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126gb1 42042c1 |
Quadratic twists by: -3 -7 |