Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bc |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-74101928544000 = -1 · 28 · 39 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6615,463050] |
[a1,a2,a3,a4,a6] |
Generators |
[30:540:1] |
Generators of the group modulo torsion |
j |
-432 |
j-invariant |
L |
4.9434576439154 |
L(r)(E,1)/r! |
Ω |
0.54376082951481 |
Real period |
R |
2.2728088224815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200fh1 88200fk1 1800e1 |
Quadratic twists by: -3 5 -7 |