Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
61800j |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-213580800 = -1 · 210 · 34 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1688,-26148] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1962:1] |
Generators of the group modulo torsion |
j |
-20790183940/8343 |
j-invariant |
L |
6.1346251757633 |
L(r)(E,1)/r! |
Ω |
0.37238703834559 |
Real period |
R |
4.1184470351001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600l1 61800g1 |
Quadratic twists by: -4 5 |