Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254be |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3996589217544 = -1 · 23 · 39 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ 6 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29646,1954707] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-273:1] |
Generators of the group modulo torsion |
j |
-1200136876480129/1664551944 |
j-invariant |
L |
8.3545698937069 |
L(r)(E,1)/r! |
Ω |
0.78106160477549 |
Real period |
R |
0.59424604744691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254ck1 |
Quadratic twists by: -7 |