Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350f |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-2623025302732800 = -1 · 219 · 35 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 7 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-308480,65863680] |
[a1,a2,a3,a4,a6] |
j |
-1103770289367265/891813888 |
j-invariant |
L |
0.90460498239667 |
L(r)(E,1)/r! |
Ω |
0.45230249119833 |
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 |
58800ii1 22050ee1 7350cy1 1050f1 |
Quadratic twists by: -4 -3 5 -7 |