Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397c |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-215194239 = -1 · 39 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3+ 3 0 -5 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,147,-208] |
[a1,a2,a3,a4,a6] |
Generators |
[980:4154:125] |
Generators of the group modulo torsion |
j |
21141/13 |
j-invariant |
L |
8.9844057865742 |
L(r)(E,1)/r! |
Ω |
1.0264023238054 |
Real period |
R |
4.3766491803145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397d1 98397h1 |
Quadratic twists by: -3 29 |