Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800o |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1836800 = -1 · 28 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 7 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-628,6272] |
[a1,a2,a3,a4,a6] |
Generators |
[16:8:1] |
Generators of the group modulo torsion |
j |
-4286610640/287 |
j-invariant |
L |
4.985247417557 |
L(r)(E,1)/r! |
Ω |
2.50704910418 |
Real period |
R |
0.99424606647569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400o1 114800u1 |
Quadratic twists by: -4 5 |