Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11730q |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-1412995330800 = -1 · 24 · 312 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2490,31572] |
[a1,a2,a3,a4,a6] |
j |
1707303978675359/1412995330800 |
j-invariant |
L |
6.6215875818075 |
L(r)(E,1)/r! |
Ω |
0.55179896515063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93840bp1 35190q1 58650m1 |
Quadratic twists by: -4 -3 5 |