Atkin-Lehner |
2+ 3+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35670d |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-33515532000 = -1 · 25 · 35 · 53 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -4 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1337,20229] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-79:1] |
Generators of the group modulo torsion |
j |
-264621653112601/33515532000 |
j-invariant |
L |
4.27160883138 |
L(r)(E,1)/r! |
Ω |
1.1305251471913 |
Real period |
R |
0.62973814160507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107010r1 |
Quadratic twists by: -3 |