Atkin-Lehner |
3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453i |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
95311086606981 = 33 · 76 · 172 · 473 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 3 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11629,-107367] |
[a1,a2,a3,a4,a6] |
Generators |
[-12795:439:125] |
Generators of the group modulo torsion |
j |
1478427148288/810130869 |
j-invariant |
L |
6.6360885941727 |
L(r)(E,1)/r! |
Ω |
0.49125397259433 |
Real period |
R |
6.7542339886934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397c1 |
Quadratic twists by: -7 |