Atkin-Lehner |
2+ 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370i |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-182757955162387500 = -1 · 22 · 36 · 55 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44468,-20901012] |
[a1,a2,a3,a4,a6] |
Generators |
[526:9816:1] |
Generators of the group modulo torsion |
j |
-34427173081/646987500 |
j-invariant |
L |
3.4367366077225 |
L(r)(E,1)/r! |
Ω |
0.13780303896717 |
Real period |
R |
6.2348708457867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370bu1 |
Quadratic twists by: -7 |