Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490l |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-580873593168000 = -1 · 27 · 34 · 53 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-78652,-8601776] |
[a1,a2,a3,a4,a6] |
Generators |
[325:382:1] |
Generators of the group modulo torsion |
j |
-30374248413601/327888000 |
j-invariant |
L |
4.6036275549293 |
L(r)(E,1)/r! |
Ω |
0.14244985424498 |
Real period |
R |
2.6931275660556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590s1 |
Quadratic twists by: -11 |