Atkin-Lehner |
3- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415h |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-1608543599355 = -1 · 36 · 5 · 76 · 112 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11793,-496692] |
[a1,a2,a3,a4,a6] |
Generators |
[849:24524:1] |
Generators of the group modulo torsion |
j |
-248810715099136/2206506995 |
j-invariant |
L |
2.4704123522972 |
L(r)(E,1)/r! |
Ω |
0.22894632975731 |
Real period |
R |
2.6975889712455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999014555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11935b1 |
Quadratic twists by: -3 |