Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605o |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-7315527657919966875 = -1 · 315 · 54 · 138 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,448188,-59970960] |
[a1,a2,a3,a4,a6] |
Generators |
[338:11407:1] |
Generators of the group modulo torsion |
j |
16742875136/12301875 |
j-invariant |
L |
3.2227663801242 |
L(r)(E,1)/r! |
Ω |
0.13194300824916 |
Real period |
R |
1.0177267767883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680et1 2535e1 38025y1 7605i1 |
Quadratic twists by: -4 -3 5 13 |