Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98022j |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
3214080 |
Modular degree for the optimal curve |
Δ |
-7.8200190034044E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-629956,-1359179326] |
[a1,a2,a3,a4,a6] |
Generators |
[1020605:91159891:125] |
Generators of the group modulo torsion |
j |
-32416029625/916883712 |
j-invariant |
L |
6.2907255359577 |
L(r)(E,1)/r! |
Ω |
0.06921699863589 |
Real period |
R |
7.5736760839904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015685 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98022b1 |
Quadratic twists by: -31 |