Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bx |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-74625920000000 = -1 · 213 · 57 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 3 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6592,363188] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1400:1] |
Generators of the group modulo torsion |
j |
494913671/1166030 |
j-invariant |
L |
6.751858493208 |
L(r)(E,1)/r! |
Ω |
0.42711172574032 |
Real period |
R |
1.9760222892949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000255562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150v1 25840q1 |
Quadratic twists by: -4 5 |