Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723r |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-52602258393531 = -1 · 34 · 710 · 112 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- 11- -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-800,-348790] |
[a1,a2,a3,a4,a6] |
j |
-200704/186219 |
j-invariant |
L |
1.1386258379821 |
L(r)(E,1)/r! |
Ω |
0.28465645949584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169y1 30723v1 |
Quadratic twists by: -3 -7 |