Atkin-Lehner |
2+ 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bo |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-5713547000000000 = -1 · 29 · 59 · 72 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -5 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113326,15118048] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-1264:1] |
Generators of the group modulo torsion |
j |
-82409417469413/2925336064 |
j-invariant |
L |
4.7527971147067 |
L(r)(E,1)/r! |
Ω |
0.42450494239926 |
Real period |
R |
0.93300781266872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999608792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cm1 |
Quadratic twists by: 5 |