Atkin-Lehner |
3- 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725x |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-17209810546875 = -1 · 38 · 59 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-153583,23116369] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-188:1] [47:4000:1] |
Generators of the group modulo torsion |
j |
-205128469938176/8811423 |
j-invariant |
L |
10.554900619374 |
L(r)(E,1)/r! |
Ω |
0.65108626831267 |
Real period |
R |
1.0132010469067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725f1 |
Quadratic twists by: 5 |