Atkin-Lehner |
2+ 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824a |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
85504 |
Modular degree for the optimal curve |
Δ |
-279078912 = -1 · 211 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 1 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9435,352746] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-12:1] [25:364:1] |
Generators of the group modulo torsion |
j |
-1679792775750/5047 |
j-invariant |
L |
11.646517861612 |
L(r)(E,1)/r! |
Ω |
1.51287391166 |
Real period |
R |
0.48114212337361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912m1 103824b1 |
Quadratic twists by: -4 -3 |