Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555m |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
-112849419921875 = -1 · 59 · 7 · 134 · 172 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11605,-168476] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1385:1] |
Generators of the group modulo torsion |
j |
6051294838784/3951171875 |
j-invariant |
L |
7.5632267727483 |
L(r)(E,1)/r! |
Ω |
0.3381184433173 |
Real period |
R |
3.7280953447969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007432 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100555b1 |
Quadratic twists by: 13 |