Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cp |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-78139687500000000 = -1 · 28 · 36 · 513 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48300,-12813500] |
[a1,a2,a3,a4,a6] |
Generators |
[330:-6250:1] |
Generators of the group modulo torsion |
j |
12459008/78125 |
j-invariant |
L |
5.1532291337026 |
L(r)(E,1)/r! |
Ω |
0.17160497177801 |
Real period |
R |
0.93842508584019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bb1 17640cf1 88200co1 |
Quadratic twists by: -3 5 -7 |