Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bo |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-813528717120 = -1 · 26 · 32 · 5 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2140,20070] |
[a1,a2,a3,a4,a6] |
Generators |
[7:188:1] |
Generators of the group modulo torsion |
j |
143877824/108045 |
j-invariant |
L |
4.5739217907971 |
L(r)(E,1)/r! |
Ω |
0.57107936507396 |
Real period |
R |
4.0046288401611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dk1 23520bq2 6720v1 |
Quadratic twists by: -4 8 -7 |