Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bd |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4569600 |
Modular degree for the optimal curve |
Δ |
-4.433453929564E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 1 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3248700,-2276637219] |
[a1,a2,a3,a4,a6] |
Generators |
[15405255:537395471:19683] |
Generators of the group modulo torsion |
j |
332893245351919616/389219549371875 |
j-invariant |
L |
6.3338018782699 |
L(r)(E,1)/r! |
Ω |
0.074170183310199 |
Real period |
R |
10.674440832905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775s1 19665t1 |
Quadratic twists by: -3 5 |