Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600ck |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
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 |
[18123968893201470409:2803474437520069092224:726112121784841] |
Generators of the group modulo torsion |
j |
-2104290928515625/10825465069568 |
j-invariant |
L |
6.9804212572993 |
L(r)(E,1)/r! |
Ω |
0.05770075864312 |
Real period |
R |
30.244061869591 |
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 |
113600h1 28400t1 113600cv1 |
Quadratic twists by: -4 8 5 |