Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64130l |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12171456 |
Modular degree for the optimal curve |
Δ |
-1.8375674338654E+24 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15890504,60497832429] |
[a1,a2,a3,a4,a6] |
Generators |
[10603803:1876490169:343] |
Generators of the group modulo torsion |
j |
2070118683639885791/8572387695312500 |
j-invariant |
L |
6.2876007689025 |
L(r)(E,1)/r! |
Ω |
0.059609525343727 |
Real period |
R |
8.789983273386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64130a1 |
Quadratic twists by: -11 |