Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bi |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-1366917120 = -1 · 215 · 34 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15425,-732255] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5112:1] |
Generators of the group modulo torsion |
j |
-12387322664072/41715 |
j-invariant |
L |
5.6612320111954 |
L(r)(E,1)/r! |
Ω |
0.21419574131318 |
Real period |
R |
3.3037725117908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880cc1 49440n1 |
Quadratic twists by: -4 8 |