Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800x |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-9692360230000 = -1 · 24 · 54 · 73 · 414 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5292,-20237] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1681:1] |
Generators of the group modulo torsion |
j |
1638706400000/969236023 |
j-invariant |
L |
3.6685768931668 |
L(r)(E,1)/r! |
Ω |
0.425661199517 |
Real period |
R |
1.4364228481171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400k1 114800e1 |
Quadratic twists by: -4 5 |