Atkin-Lehner |
3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6279f |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-992310993322734267 = -1 · 33 · 7 · 138 · 235 |
Discriminant |
Eigenvalues |
-2 3+ 4 7- 3 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,102654,46190864] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:5492:1] |
Generators of the group modulo torsion |
j |
119631930643843813376/992310993322734267 |
j-invariant |
L |
2.4675606455014 |
L(r)(E,1)/r! |
Ω |
0.20311134652201 |
Real period |
R |
1.518600934755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464bx1 18837u1 43953v1 81627e1 |
Quadratic twists by: -4 -3 -7 13 |