Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bv |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
13679115190272 = 214 · 38 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 3 -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6680,-109584] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1296:1] [-36:288:1] |
Generators of the group modulo torsion |
j |
3352478521/1390932 |
j-invariant |
L |
8.1395743281906 |
L(r)(E,1)/r! |
Ω |
0.5478067619705 |
Real period |
R |
1.857309660331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582g1 124656ds1 |
Quadratic twists by: -4 -7 |