Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2904k |
Isogeny class |
Conductor |
2904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
14966147328 = 28 · 3 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1492,21892] |
[a1,a2,a3,a4,a6] |
Generators |
[8:102:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
3.1799461499188 |
L(r)(E,1)/r! |
Ω |
1.2351085697924 |
Real period |
R |
2.574628844534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5808n1 23232cb1 8712k1 72600bi1 |
Quadratic twists by: -4 8 -3 5 |