Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800ca |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
4995000000000 = 29 · 33 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70208,7136088] |
[a1,a2,a3,a4,a6] |
Generators |
[154:6:1] |
Generators of the group modulo torsion |
j |
7654550600/999 |
j-invariant |
L |
9.4607487834228 |
L(r)(E,1)/r! |
Ω |
0.73994962948427 |
Real period |
R |
2.1309443237775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800e1 88800m1 |
Quadratic twists by: -4 5 |