Atkin-Lehner |
7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6307b |
Isogeny class |
Conductor |
6307 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-5682607 = -1 · 7 · 172 · 532 |
Discriminant |
Eigenvalues |
1 -2 0 7+ 4 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,-103] |
[a1,a2,a3,a4,a6] |
j |
1622234375/5682607 |
j-invariant |
L |
1.2236707096687 |
L(r)(E,1)/r! |
Ω |
1.2236707096687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100912ba1 56763k1 44149l1 107219j1 |
Quadratic twists by: -4 -3 -7 17 |