Atkin-Lehner |
2+ 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51850j |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-6025710003200000000 = -1 · 216 · 58 · 17 · 614 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 4 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-216825,-124422875] |
[a1,a2,a3,a4,a6] |
Generators |
[1810:72695:1] |
Generators of the group modulo torsion |
j |
-2885990334542905/15425817608192 |
j-invariant |
L |
3.2985397007732 |
L(r)(E,1)/r! |
Ω |
0.099538610669488 |
Real period |
R |
2.761524463188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850m1 |
Quadratic twists by: 5 |