Atkin-Lehner |
2+ 3+ 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614c |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
15573119479391232 = 210 · 39 · 11 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-525138,-146218924] |
[a1,a2,a3,a4,a6] |
Generators |
[-555115:741836:1331] |
Generators of the group modulo torsion |
j |
813679214926663539/791196437504 |
j-invariant |
L |
3.8130688673689 |
L(r)(E,1)/r! |
Ω |
0.17736033799405 |
Real period |
R |
5.3747485359045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614z1 |
Quadratic twists by: -3 |