Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230i |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-281765250 = -1 · 2 · 33 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,156,-342] |
[a1,a2,a3,a4,a6] |
j |
15494117157/10435750 |
j-invariant |
L |
1.9709159391153 |
L(r)(E,1)/r! |
Ω |
0.98545796955767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22230y2 111150cx1 |
Quadratic twists by: -3 5 |