Atkin-Lehner |
2+ 3- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970w |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-1649023150500 = -1 · 22 · 37 · 53 · 114 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-864279,309479953] |
[a1,a2,a3,a4,a6] |
Generators |
[552:329:1] |
Generators of the group modulo torsion |
j |
-97939605141869997169/2262034500 |
j-invariant |
L |
5.7682203208323 |
L(r)(E,1)/r! |
Ω |
0.61033592879282 |
Real period |
R |
0.39378726037389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990w1 |
Quadratic twists by: -3 |