Atkin-Lehner |
5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
100555g |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-107264511157895 = -1 · 5 · 7 · 139 · 172 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10848,-658654] |
[a1,a2,a3,a4,a6] |
Generators |
[31656:1063235:27] |
Generators of the group modulo torsion |
j |
-13312053/10115 |
j-invariant |
L |
2.1100128580223 |
L(r)(E,1)/r! |
Ω |
0.22644544210029 |
Real period |
R |
9.3179745615713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999476215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100555t1 |
Quadratic twists by: 13 |