Atkin-Lehner |
2+ 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632c |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
48254976 |
Modular degree for the optimal curve |
Δ |
-5.0515717509442E+29 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 1 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3476259560,-85982659099164] |
[a1,a2,a3,a4,a6] |
Generators |
[30717320:14736937662:125] |
Generators of the group modulo torsion |
j |
-4536911881900487510212279980964/493317553803140692381488669 |
j-invariant |
L |
8.4285202704549 |
L(r)(E,1)/r! |
Ω |
0.0097709136049453 |
Real period |
R |
2.1142483449216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27816d1 |
Quadratic twists by: -4 |