Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600h |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27141120 |
Modular degree for the optimal curve |
Δ |
-2.7713190578094E+25 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -5 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36520833,-267134350463] |
[a1,a2,a3,a4,a6] |
Generators |
[6555046060520672641:2185621800230119800832:58777658151841] |
Generators of the group modulo torsion |
j |
-2104290928515625/10825465069568 |
j-invariant |
L |
5.613317881343 |
L(r)(E,1)/r! |
Ω |
0.02768291384457 |
Real period |
R |
25.346491308953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600ck1 3550k1 113600bo1 |
Quadratic twists by: -4 8 5 |