Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760n |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17487360 |
Modular degree for the optimal curve |
Δ |
-1.3940620550924E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-665647905,6850171784097] |
[a1,a2,a3,a4,a6] |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
0.28570968171559 |
L(r)(E,1)/r! |
Ω |
0.047618280286069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29760cw1 930f1 89280bb1 |
Quadratic twists by: -4 8 -3 |