Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7896c |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
36368976 = 24 · 3 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-327,-2370] |
[a1,a2,a3,a4,a6] |
j |
242423339008/2273061 |
j-invariant |
L |
3.3691398752261 |
L(r)(E,1)/r! |
Ω |
1.1230466250754 |
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 |
15792a1 63168w1 23688t1 55272f1 |
Quadratic twists by: -4 8 -3 -7 |