Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720d |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1870848 |
Modular degree for the optimal curve |
Δ |
5.0392519581456E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-948496,99144220] |
[a1,a2,a3,a4,a6] |
Generators |
[18661:2545668:1] |
Generators of the group modulo torsion |
j |
92157508402758660676/49211444903765625 |
j-invariant |
L |
2.1072960045924 |
L(r)(E,1)/r! |
Ω |
0.17531876818689 |
Real period |
R |
6.0098985012396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440u1 |
Quadratic twists by: -4 |