Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975x |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1430016 |
Modular degree for the optimal curve |
Δ |
-33195662841796875 = -1 · 36 · 513 · 7 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 5 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,78075,2516906] |
[a1,a2,a3,a4,a6] |
Generators |
[79:3029:1] |
Generators of the group modulo torsion |
j |
4620746428416/2914296875 |
j-invariant |
L |
3.3631897471694 |
L(r)(E,1)/r! |
Ω |
0.22901507329996 |
Real period |
R |
3.6713628587397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12775e1 22995j1 |
Quadratic twists by: -3 5 |