Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723f |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-73765923 = -1 · 3 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3+ -4 7- 11+ -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65,482] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:24:1] |
Generators of the group modulo torsion |
j |
-262144/627 |
j-invariant |
L |
2.1004968601067 |
L(r)(E,1)/r! |
Ω |
1.7184652605918 |
Real period |
R |
0.61115487996055 |
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 |
92169bi1 627a1 |
Quadratic twists by: -3 -7 |