Atkin-Lehner |
3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30303h |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-138134316411 = -1 · 38 · 7 · 133 · 372 |
Discriminant |
Eigenvalues |
0 3- 1 7- -2 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3072,-67932] |
[a1,a2,a3,a4,a6] |
Generators |
[782:21811:1] |
Generators of the group modulo torsion |
j |
-4398046511104/189484659 |
j-invariant |
L |
4.8590522679692 |
L(r)(E,1)/r! |
Ω |
0.3198313360701 |
Real period |
R |
3.7981364863074 |
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 |
10101d1 |
Quadratic twists by: -3 |