Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cg |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1786050000000000 = -1 · 210 · 36 · 511 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8925,-2007250] |
[a1,a2,a3,a4,a6] |
Generators |
[444565:8230300:1331] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
7.4711261255084 |
L(r)(E,1)/r! |
Ω |
0.22817136836098 |
Real period |
R |
8.1858716228947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bc1 17640cd1 88200bh1 |
Quadratic twists by: -3 5 -7 |