Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800cb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3870720000 = -1 · 215 · 33 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-40:1] [-6:72:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
10.848061041311 |
L(r)(E,1)/r! |
Ω |
1.2595536970958 |
Real period |
R |
0.35885928836346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800cq1 50400o1 100800by1 100800bj1 |
Quadratic twists by: -4 8 -3 5 |