Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975w |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-53113060546875 = -1 · 36 · 59 · 7 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 1 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-998175,383847156] |
[a1,a2,a3,a4,a6] |
Generators |
[576:-37:1] |
Generators of the group modulo torsion |
j |
-9655977011728384/4662875 |
j-invariant |
L |
3.0368902862623 |
L(r)(E,1)/r! |
Ω |
0.51566756808769 |
Real period |
R |
1.4723101097788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999708255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12775d1 22995i1 |
Quadratic twists by: -3 5 |