Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576ce |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-541484714115072 = -1 · 214 · 32 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18408,567792] |
[a1,a2,a3,a4,a6] |
j |
596183/468 |
j-invariant |
L |
1.3362942230883 |
L(r)(E,1)/r! |
Ω |
0.33407355577248 |
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 |
3822p1 122304hk1 91728fs1 30576ck1 |
Quadratic twists by: -4 8 -3 -7 |