Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194g |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-12980411136 = -1 · 28 · 33 · 7 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-897981,327752901] |
[a1,a2,a3,a4,a6] |
Generators |
[2026:81579:1] |
Generators of the group modulo torsion |
j |
-2965935233137366233099/480755968 |
j-invariant |
L |
3.6660615266325 |
L(r)(E,1)/r! |
Ω |
0.72693763986352 |
Real period |
R |
3.7823686574955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40194be2 |
Quadratic twists by: -3 |