Atkin-Lehner |
2+ 3+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266f |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
379008 |
Modular degree for the optimal curve |
Δ |
-6979797468758016 = -1 · 214 · 33 · 79 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -4 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18051,-4122027] |
[a1,a2,a3,a4,a6] |
Generators |
[198:93:1] |
Generators of the group modulo torsion |
j |
-24092245494857259/258511017361408 |
j-invariant |
L |
1.9823164847192 |
L(r)(E,1)/r! |
Ω |
0.17849899016753 |
Real period |
R |
2.7763693268949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266ba1 |
Quadratic twists by: -3 |