Atkin-Lehner |
3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35997b |
Isogeny class |
Conductor |
35997 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
94752 |
Modular degree for the optimal curve |
Δ |
-122099035924359 = -1 · 37 · 133 · 714 |
Discriminant |
Eigenvalues |
-1 3- 2 2 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21252,-1307385] |
[a1,a2,a3,a4,a6] |
Generators |
[807:22119:1] |
Generators of the group modulo torsion |
j |
-483163762035709/55575346347 |
j-invariant |
L |
5.4208616302096 |
L(r)(E,1)/r! |
Ω |
0.19643519828953 |
Real period |
R |
3.9423118211957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107991f1 35997c1 |
Quadratic twists by: -3 13 |