Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315x |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-614383666575 = -1 · 3 · 52 · 710 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1420,-31473] |
[a1,a2,a3,a4,a6] |
Generators |
[27:150:1] |
Generators of the group modulo torsion |
j |
2691419471/5222175 |
j-invariant |
L |
3.8481503056642 |
L(r)(E,1)/r! |
Ω |
0.47757738519529 |
Real period |
R |
4.0288238356288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63945k1 106575t1 3045d1 |
Quadratic twists by: -3 5 -7 |