Atkin-Lehner |
3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025l |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
-7665057421875 = -1 · 33 · 58 · 7 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,750,-132969] |
[a1,a2,a3,a4,a6] |
j |
4423680/726761 |
j-invariant |
L |
2.7990207597942 |
L(r)(E,1)/r! |
Ω |
0.34987759402147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74025k2 74025a1 |
Quadratic twists by: -3 5 |