Atkin-Lehner |
2- 7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70448g |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7892640 |
Modular degree for the optimal curve |
Δ |
-6.5525885803548E+20 |
Discriminant |
Eigenvalues |
2- 3 4 7+ -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2332048,-1842749200] |
[a1,a2,a3,a4,a6] |
j |
-342433480186122153984/159975307137569147 |
j-invariant |
L |
7.2291274123906 |
L(r)(E,1)/r! |
Ω |
0.05974485447622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403b1 |
Quadratic twists by: -4 |