Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520h |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-35843500000000 = -1 · 28 · 59 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 7 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-288125] |
[a1,a2,a3,a4,a6] |
Generators |
[75:350:1] |
Generators of the group modulo torsion |
j |
-4942652416/140013671875 |
j-invariant |
L |
4.6657042354665 |
L(r)(E,1)/r! |
Ω |
0.29726817233813 |
Real period |
R |
0.14532657433199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117040q1 |
Quadratic twists by: -4 |