Atkin-Lehner |
2+ 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
102256b |
Isogeny class |
Conductor |
102256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-85237431664 = -1 · 24 · 7 · 113 · 833 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11+ 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1132,-20685] |
[a1,a2,a3,a4,a6] |
j |
-10035213253888/5327339479 |
j-invariant |
L |
1.20454207034 |
L(r)(E,1)/r! |
Ω |
0.4015139732881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51128b1 |
Quadratic twists by: -4 |