Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100cj |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-96759462870000 = -1 · 24 · 314 · 54 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5025,492725] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:765:1] |
Generators of the group modulo torsion |
j |
-1924883200/13272903 |
j-invariant |
L |
7.9241153448939 |
L(r)(E,1)/r! |
Ω |
0.51609715210958 |
Real period |
R |
1.2794934879164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700q1 107100bl1 |
Quadratic twists by: -3 5 |