Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325br |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
54996480 |
Modular degree for the optimal curve |
Δ |
-2.0742180216701E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -3 -7 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2967059550,62206753244656] |
[a1,a2,a3,a4,a6] |
Generators |
[31516:20776:1] [31310:42612:1] |
Generators of the group modulo torsion |
j |
-253603326794038661309169664/18209870149092795 |
j-invariant |
L |
7.5361676057554 |
L(r)(E,1)/r! |
Ω |
0.076042527852941 |
Real period |
R |
0.88486288741235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775f1 19665x1 |
Quadratic twists by: -3 5 |