Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200cq |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-180007596000000 = -1 · 28 · 38 · 56 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12300,-375500] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
3.7622062244054 |
L(r)(E,1)/r! |
Ω |
0.31351718536606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400bp1 11400l1 1368c1 |
Quadratic twists by: -4 -3 5 |