Atkin-Lehner |
3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545g |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4547088 |
Modular degree for the optimal curve |
Δ |
-373343488805390625 = -1 · 313 · 57 · 194 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16690301,-26251837252] |
[a1,a2,a3,a4,a6] |
j |
-3945497903475937224769/2864799140625 |
j-invariant |
L |
0.11204170430988 |
L(r)(E,1)/r! |
Ω |
0.037346808752569 |
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 |
124545bd1 |
Quadratic twists by: -19 |