Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975s |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
571392 |
Modular degree for the optimal curve |
Δ |
-2279303908054425 = -1 · 314 · 52 · 72 · 733 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -3 -6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13797,-2376734] |
[a1,a2,a3,a4,a6] |
Generators |
[438:8468:1] |
Generators of the group modulo torsion |
j |
-15937781699065/125064686313 |
j-invariant |
L |
5.695127026581 |
L(r)(E,1)/r! |
Ω |
0.19425788329397 |
Real period |
R |
2.4431128196808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998710941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38325a1 114975br1 |
Quadratic twists by: -3 5 |