Atkin-Lehner |
2+ 3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090c |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
15056250000 = 24 · 3 · 58 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-883,7837] |
[a1,a2,a3,a4,a6] |
Generators |
[2:77:1] |
Generators of the group modulo torsion |
j |
76273573823929/15056250000 |
j-invariant |
L |
3.1661587783565 |
L(r)(E,1)/r! |
Ω |
1.1812415171217 |
Real period |
R |
2.6803653041855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270bi1 120450cb1 |
Quadratic twists by: -3 5 |