Atkin-Lehner |
2- 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bz |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
970776576 |
Modular degree for the optimal curve |
Δ |
1.4042695375168E+31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76094178042,-8077348120172409] |
[a1,a2,a3,a4,a6] |
Generators |
[1081626099329:475985603340499:2571353] |
Generators of the group modulo torsion |
j |
414180609320646251159036261381137/119360941233396540720021504 |
j-invariant |
L |
12.234436332845 |
L(r)(E,1)/r! |
Ω |
0.0090901114497545 |
Real period |
R |
16.02269146429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354w1 |
Quadratic twists by: -7 |