Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245h |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-7664965881615 = -1 · 34 · 5 · 710 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6861,-258966] |
[a1,a2,a3,a4,a6] |
j |
-303599943361/65151135 |
j-invariant |
L |
0.51861462326127 |
L(r)(E,1)/r! |
Ω |
0.25930731161561 |
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 |
7035k1 |
Quadratic twists by: -7 |