Atkin-Lehner |
3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104181d |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-1969894200788093349 = -1 · 37 · 7 · 1112 · 41 |
Discriminant |
Eigenvalues |
1 3+ -1 7+ 11- 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1660848,-827295399] |
[a1,a2,a3,a4,a6] |
Generators |
[19366105293127280:1386229829635630197:3506958394057] |
Generators of the group modulo torsion |
j |
-285994494781134049/1111953921309 |
j-invariant |
L |
3.7228706818179 |
L(r)(E,1)/r! |
Ω |
0.06647923122197 |
Real period |
R |
28.000253713731 |
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 |
9471c1 |
Quadratic twists by: -11 |