Atkin-Lehner |
2+ 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840c |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
25920000 |
Modular degree for the optimal curve |
Δ |
-1.3003932407344E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,126559773,-26412539346] |
[a1,a2,a3,a4,a6] |
Generators |
[13903:2102500:1] |
Generators of the group modulo torsion |
j |
11122938208852032477492/6451838003123046875 |
j-invariant |
L |
8.147967739116 |
L(r)(E,1)/r! |
Ω |
0.034733238645731 |
Real period |
R |
1.3032613454803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114840p1 |
Quadratic twists by: -3 |