Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ef |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-6003628470000 = -1 · 24 · 36 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,145775] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-245:1] [-41:477:1] |
Generators of the group modulo torsion |
j |
-6400/7 |
j-invariant |
L |
10.729036569916 |
L(r)(E,1)/r! |
Ω |
0.68668278041112 |
Real period |
R |
0.32550924763411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bq1 88200hk1 12600be1 |
Quadratic twists by: -3 5 -7 |