Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780d |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-42819840 = -1 · 28 · 34 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44,280] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
35969456/167265 |
j-invariant |
L |
3.7487536027812 |
L(r)(E,1)/r! |
Ω |
1.4563255760098 |
Real period |
R |
1.2870589051428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120cq1 74340z1 123900u1 |
Quadratic twists by: -4 -3 5 |