Atkin-Lehner |
11+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98527f |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
-50692259302526699 = -1 · 113 · 136 · 534 |
Discriminant |
Eigenvalues |
-2 3 3 -2 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,82979,-5718242] |
[a1,a2,a3,a4,a6] |
Generators |
[1202064825:64484228179:421875] |
Generators of the group modulo torsion |
j |
13090860306432/10502230211 |
j-invariant |
L |
7.9870706181132 |
L(r)(E,1)/r! |
Ω |
0.19764499203643 |
Real period |
R |
10.102799074051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
583c1 |
Quadratic twists by: 13 |