Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200eu |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-24690355200 = -1 · 210 · 39 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2835,58590] |
[a1,a2,a3,a4,a6] |
Generators |
[51:216:1] |
Generators of the group modulo torsion |
j |
-102060 |
j-invariant |
L |
5.3022574677802 |
L(r)(E,1)/r! |
Ω |
1.2010320327119 |
Real period |
R |
1.1036877706333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200i1 88200y1 88200ej1 |
Quadratic twists by: -3 5 -7 |