Atkin-Lehner |
3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461b |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
1.4574692310377E+20 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20642852,36100109350] |
[a1,a2,a3,a4,a6] |
Generators |
[-5204:53321:1] |
Generators of the group modulo torsion |
j |
420100556152674123/62939003491 |
j-invariant |
L |
2.9500206674864 |
L(r)(E,1)/r! |
Ω |
0.17713744440284 |
Real period |
R |
2.7756419124803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999246159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461c1 13923b1 |
Quadratic twists by: -3 -7 |