Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bw |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-412072591085568 = -1 · 212 · 37 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,544,976515] |
[a1,a2,a3,a4,a6] |
Generators |
[29:993:1] |
Generators of the group modulo torsion |
j |
24464768327/565257326592 |
j-invariant |
L |
7.2903776449582 |
L(r)(E,1)/r! |
Ω |
0.41991985047982 |
Real period |
R |
0.060282483045861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422g1 |
Quadratic twists by: -3 |