Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ip |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-30011281060320000 = -1 · 28 · 313 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102900,15194900] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-2430:1] |
Generators of the group modulo torsion |
j |
-8780800/2187 |
j-invariant |
L |
7.7987012692727 |
L(r)(E,1)/r! |
Ω |
0.35423171673387 |
Real period |
R |
0.9173257806283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bc1 88200da1 1800x1 |
Quadratic twists by: -3 5 -7 |