Atkin-Lehner |
3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89739a |
Isogeny class |
Conductor |
89739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
2854911507700941 = 33 · 1311 · 59 |
Discriminant |
Eigenvalues |
0 3+ -1 2 -6 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37518,-1102345] |
[a1,a2,a3,a4,a6] |
Generators |
[429:7858:1] |
Generators of the group modulo torsion |
j |
44814532608/21906287 |
j-invariant |
L |
4.541800482413 |
L(r)(E,1)/r! |
Ω |
0.36043836774933 |
Real period |
R |
3.1501921719774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999651149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89739c1 6903c1 |
Quadratic twists by: -3 13 |