Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200c |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-32300000000 = -1 · 28 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9033,-327563] |
[a1,a2,a3,a4,a6] |
Generators |
[23795044:2476155475:2197] |
Generators of the group modulo torsion |
j |
-20380171264/8075 |
j-invariant |
L |
6.2757693467398 |
L(r)(E,1)/r! |
Ω |
0.24484837611589 |
Real period |
R |
12.815623974306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998545177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64600t1 25840c1 |
Quadratic twists by: -4 5 |