Atkin-Lehner |
3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245n |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-35196271905375 = -1 · 36 · 53 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5463,241704] |
[a1,a2,a3,a4,a6] |
Generators |
[748:20206:1] |
Generators of the group modulo torsion |
j |
153216258551/299163375 |
j-invariant |
L |
7.2556149478572 |
L(r)(E,1)/r! |
Ω |
0.45027016272582 |
Real period |
R |
2.6856524328802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035e1 |
Quadratic twists by: -7 |