Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925bc |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-241407644625 = -1 · 33 · 53 · 74 · 313 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-515,23850] |
[a1,a2,a3,a4,a6] |
Generators |
[34:200:1] |
Generators of the group modulo torsion |
j |
-50484749/804357 |
j-invariant |
L |
6.5007811885525 |
L(r)(E,1)/r! |
Ω |
0.83505869646018 |
Real period |
R |
0.43248997179838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999555061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925cr1 113925cx1 |
Quadratic twists by: 5 -7 |