Atkin-Lehner |
3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63075k |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
623616 |
Modular degree for the optimal curve |
Δ |
146884853005673625 = 34 · 53 · 299 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-246430,43222375] |
[a1,a2,a3,a4,a6] |
Generators |
[1374:47281:1] |
Generators of the group modulo torsion |
j |
912673/81 |
j-invariant |
L |
4.6165103795984 |
L(r)(E,1)/r! |
Ω |
0.3175716318608 |
Real period |
R |
7.2684552334705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63075x1 63075y1 |
Quadratic twists by: 5 29 |