Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bz |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
6.9809769719033E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308604450,-2086271303375] |
[a1,a2,a3,a4,a6] |
Generators |
[-161646670640:219575895525:15813251] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
7.2326548580461 |
L(r)(E,1)/r! |
Ω |
0.036020903838039 |
Real period |
R |
12.549405499019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ea1 17640cb1 12600s1 |
Quadratic twists by: -3 5 -7 |