Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840be |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-53957949833216000 = -1 · 217 · 53 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1812136,938395060] |
[a1,a2,a3,a4,a6] |
Generators |
[711:3146:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
7.5873170754405 |
L(r)(E,1)/r! |
Ω |
0.33791156523045 |
Real period |
R |
1.4033474113109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999934562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730b1 11440l1 |
Quadratic twists by: -4 -11 |