Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46930t |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122400 |
Modular degree for the optimal curve |
Δ |
-6100900000 = -1 · 25 · 55 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 5 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21193,1185708] |
[a1,a2,a3,a4,a6] |
Generators |
[94:115:1] |
Generators of the group modulo torsion |
j |
-2915844546166561/16900000 |
j-invariant |
L |
2.6573300268421 |
L(r)(E,1)/r! |
Ω |
1.1944068452999 |
Real period |
R |
0.22248114512259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46930bk1 |
Quadratic twists by: -19 |