Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ft |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3584617968750 = -1 · 2 · 3 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2424,-78452] |
[a1,a2,a3,a4,a6] |
Generators |
[1166:14113:8] |
Generators of the group modulo torsion |
j |
34295/78 |
j-invariant |
L |
6.0626786199572 |
L(r)(E,1)/r! |
Ω |
0.40923118845506 |
Real period |
R |
2.4691335034307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550gu1 1950c1 |
Quadratic twists by: 5 -7 |