Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245w |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-7678608738744899025 = -1 · 311 · 52 · 78 · 673 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -6 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9953053,-12087563827] |
[a1,a2,a3,a4,a6] |
Generators |
[3679:31235:1] |
Generators of the group modulo torsion |
j |
-18915084221121405961/1331981579025 |
j-invariant |
L |
7.899722223419 |
L(r)(E,1)/r! |
Ω |
0.042498994026573 |
Real period |
R |
2.8163669211962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245g1 |
Quadratic twists by: -7 |