Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675h |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-597748260498046875 = -1 · 35 · 516 · 73 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25908,-37223782] |
[a1,a2,a3,a4,a6] |
j |
-123089813622784/38255888671875 |
j-invariant |
L |
0.77854155471365 |
L(r)(E,1)/r! |
Ω |
0.12975692578562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025bb1 4935f1 |
Quadratic twists by: -3 5 |