Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360v |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
5115600 = 24 · 32 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75,252] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:21:1] |
Generators of the group modulo torsion |
j |
2955053056/319725 |
j-invariant |
L |
4.9210093998108 |
L(r)(E,1)/r! |
Ω |
2.3491478147814 |
Real period |
R |
0.52370154922208 |
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 |
48720u1 73080h1 121800r1 |
Quadratic twists by: -4 -3 5 |