Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424bp |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-8606702144323584 = -1 · 238 · 32 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19903,4324065] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:360:1] |
Generators of the group modulo torsion |
j |
3325964415983/32831963136 |
j-invariant |
L |
5.2172118675045 |
L(r)(E,1)/r! |
Ω |
0.30316889907644 |
Real period |
R |
4.3022320783412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424bb1 23856ba1 |
Quadratic twists by: -4 8 |