Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cr |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2821754880000 = -1 · 215 · 39 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2700,97200] |
[a1,a2,a3,a4,a6] |
Generators |
[36:216:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
5.3602794971949 |
L(r)(E,1)/r! |
Ω |
0.72720366607705 |
Real period |
R |
1.8427710618567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800by1 50400r1 100800cq1 100800n1 |
Quadratic twists by: -4 8 -3 5 |