Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723j |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
4647253149 = 33 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3+ 1 7- 11+ 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-56660,-5172301] |
[a1,a2,a3,a4,a6] |
Generators |
[359410:4555961:1000] |
Generators of the group modulo torsion |
j |
170990840664064/39501 |
j-invariant |
L |
10.37297580861 |
L(r)(E,1)/r! |
Ω |
0.30944237054141 |
Real period |
R |
8.3803777343589 |
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 |
92169bp1 4389g1 |
Quadratic twists by: -3 -7 |