Atkin-Lehner |
3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475h |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5197824 |
Modular degree for the optimal curve |
Δ |
-1.7659815821007E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47287525,-125182040000] |
[a1,a2,a3,a4,a6] |
Generators |
[1604223591117480:-1166827627422193115:3036027392] |
Generators of the group modulo torsion |
j |
-748416669822269782893649/11302282125444375 |
j-invariant |
L |
3.288681148675 |
L(r)(E,1)/r! |
Ω |
0.028786079358294 |
Real period |
R |
19.040923145505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895h1 |
Quadratic twists by: 5 |