Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242q |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
38814720 |
Modular degree for the optimal curve |
Δ |
1.3149120169899E+25 |
Discriminant |
Eigenvalues |
2- 1 3 7+ -1 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-409697644,-3187118709488] |
[a1,a2,a3,a4,a6] |
Generators |
[-11703934391721972:35894484260272432:974126411497] |
Generators of the group modulo torsion |
j |
23568486981643074043/40748749519744 |
j-invariant |
L |
14.750860597553 |
L(r)(E,1)/r! |
Ω |
0.033560528385554 |
Real period |
R |
15.697501656124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116242b1 |
Quadratic twists by: -19 |