Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192h |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-17873664 = -1 · 28 · 3 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,203] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:111:8] |
Generators of the group modulo torsion |
j |
-1024/69819 |
j-invariant |
L |
6.4001062461269 |
L(r)(E,1)/r! |
Ω |
1.7414495581893 |
Real period |
R |
1.8375801400706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15096e1 120768cs1 90576c1 |
Quadratic twists by: -4 8 -3 |