Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254cc |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1869120 |
Modular degree for the optimal curve |
Δ |
-2176142828952708 = -1 · 22 · 311 · 74 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1599263,778315005] |
[a1,a2,a3,a4,a6] |
Generators |
[694:1327:1] |
Generators of the group modulo torsion |
j |
-188404485446119140625/906348533508 |
j-invariant |
L |
12.518365890884 |
L(r)(E,1)/r! |
Ω |
0.40922637994392 |
Real period |
R |
0.69523454435914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254bm1 |
Quadratic twists by: -7 |