Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bb |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-15262284800 = -1 · 210 · 52 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 2 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3745,87175] |
[a1,a2,a3,a4,a6] |
Generators |
[18:161:1] |
Generators of the group modulo torsion |
j |
-5674076449024/14904575 |
j-invariant |
L |
7.9991222443634 |
L(r)(E,1)/r! |
Ω |
1.2480711764465 |
Real period |
R |
0.53409896242032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520ch1 6440b1 |
Quadratic twists by: -4 8 |