Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350a |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-129708022500000 = -1 · 25 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44125,-3627875] |
[a1,a2,a3,a4,a6] |
Generators |
[265:1705:1] |
Generators of the group modulo torsion |
j |
-105484561/1440 |
j-invariant |
L |
2.3799429576173 |
L(r)(E,1)/r! |
Ω |
0.16456762884727 |
Real period |
R |
1.2051494038691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800ht1 22050dq1 1470r1 7350x1 |
Quadratic twists by: -4 -3 5 -7 |