Atkin-Lehner |
2- 5+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
60350h |
Isogeny class |
Conductor |
60350 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
-5295937484800 = -1 · 211 · 52 · 172 · 713 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10855,-446433] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1130:1] |
Generators of the group modulo torsion |
j |
-5657644802075625/211837499392 |
j-invariant |
L |
7.303499155018 |
L(r)(E,1)/r! |
Ω |
0.23335219601281 |
Real period |
R |
0.47421485630059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60350g1 |
Quadratic twists by: 5 |