Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200n |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
2109771562500000000 = 28 · 39 · 513 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123053175,-525396705750] |
[a1,a2,a3,a4,a6] |
j |
7630566466251024/78125 |
j-invariant |
L |
0.36263211783376 |
L(r)(E,1)/r! |
Ω |
0.045329021999439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200eo1 17640bt1 88200k1 |
Quadratic twists by: -3 5 -7 |