Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26934b |
Isogeny class |
Conductor |
26934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2296224 |
Modular degree for the optimal curve |
Δ |
3.8080442063806E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12901479,17582191605] |
[a1,a2,a3,a4,a6] |
Generators |
[77453475078979142:-5222466004922250711:72830395594081] |
Generators of the group modulo torsion |
j |
8729091379/139968 |
j-invariant |
L |
3.9232908804153 |
L(r)(E,1)/r! |
Ω |
0.13996080839183 |
Real period |
R |
28.031353387384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80802n1 26934g1 |
Quadratic twists by: -3 -67 |