Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575s |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
699689853515625 = 3 · 510 · 77 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9714275,-11657745000] |
[a1,a2,a3,a4,a6] |
Generators |
[-361867996021071374271527797122800:179261991077214751357495891366875:201049576541391589023759634432] |
Generators of the group modulo torsion |
j |
55150149867714721/380625 |
j-invariant |
L |
7.693391938732 |
L(r)(E,1)/r! |
Ω |
0.085515915724943 |
Real period |
R |
44.982222906358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999640869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315p1 15225x1 |
Quadratic twists by: 5 -7 |