Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352u |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8553600 |
Modular degree for the optimal curve |
Δ |
-5.8112343920484E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15134357,-22951618083] |
[a1,a2,a3,a4,a6] |
Generators |
[307220881338774:35155143923992851:21531355768] |
Generators of the group modulo torsion |
j |
-39693696892928/601692057 |
j-invariant |
L |
7.5028368223447 |
L(r)(E,1)/r! |
Ω |
0.038237307832181 |
Real period |
R |
19.621770589273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6897b1 110352s1 |
Quadratic twists by: -4 -11 |