Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152t |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-218755569287168 = -1 · 232 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3 -4 -2 -2 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14708,-187120] |
[a1,a2,a3,a4,a6] |
Generators |
[27606:888832:27] |
Generators of the group modulo torsion |
j |
1342284742791/834486272 |
j-invariant |
L |
7.6559642222271 |
L(r)(E,1)/r! |
Ω |
0.32324711319741 |
Real period |
R |
2.9605694454211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152e1 26288l1 |
Quadratic twists by: -4 8 |