Atkin-Lehner |
5+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48925b |
Isogeny class |
Conductor |
48925 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
3984971828125 = 56 · 195 · 103 |
Discriminant |
Eigenvalues |
-1 1 5+ 1 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13063,565492] |
[a1,a2,a3,a4,a6] |
Generators |
[51:155:1] |
Generators of the group modulo torsion |
j |
15777367606441/255038197 |
j-invariant |
L |
4.3464620314637 |
L(r)(E,1)/r! |
Ω |
0.78403692731901 |
Real period |
R |
0.55436955582143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1957a1 |
Quadratic twists by: 5 |