Atkin-Lehner |
2- 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128100x |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1068089793750000 = -1 · 24 · 38 · 58 · 7 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25542,70713] |
[a1,a2,a3,a4,a6] |
Generators |
[558:-13725:1] [33:975:1] |
Generators of the group modulo torsion |
j |
294843388160/170894367 |
j-invariant |
L |
13.738327964667 |
L(r)(E,1)/r! |
Ω |
0.29482115946141 |
Real period |
R |
0.32360314802107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128100h1 |
Quadratic twists by: 5 |