Atkin-Lehner |
2+ 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254g |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1670195170000896 = -1 · 214 · 3 · 77 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-230864,42644736] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6290:1] [160:3056:1] |
Generators of the group modulo torsion |
j |
-11566635758883577/14196424704 |
j-invariant |
L |
6.0370186220155 |
L(r)(E,1)/r! |
Ω |
0.47179817276755 |
Real period |
R |
1.5994706451234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14322d1 |
Quadratic twists by: -7 |