Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30784c |
Isogeny class |
Conductor |
30784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
547862848 = 26 · 132 · 373 |
Discriminant |
Eigenvalues |
2+ -1 2 -3 -5 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-287,-1403] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:13:1] |
Generators of the group modulo torsion |
j |
40992251392/8560357 |
j-invariant |
L |
3.3659950143157 |
L(r)(E,1)/r! |
Ω |
1.1766646139149 |
Real period |
R |
1.4303119914164 |
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 |
30784b1 15392b1 |
Quadratic twists by: -4 8 |