Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350v |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-8643600000000000 = -1 · 213 · 32 · 511 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74751,9042898] |
[a1,a2,a3,a4,a6] |
j |
-1231272543361/230400000 |
j-invariant |
L |
1.5847187498458 |
L(r)(E,1)/r! |
Ω |
0.39617968746146 |
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 |
58800ez1 22050dw1 1470l1 7350k1 |
Quadratic twists by: -4 -3 5 -7 |