Atkin-Lehner |
2+ 3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210a |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-75582471031920 = -1 · 24 · 37 · 5 · 17 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2848,421168] |
[a1,a2,a3,a4,a6] |
Generators |
[-5220:88256:125] |
Generators of the group modulo torsion |
j |
-2556123967348489/75582471031920 |
j-invariant |
L |
3.7755634095898 |
L(r)(E,1)/r! |
Ω |
0.51165416737682 |
Real period |
R |
7.3791315508042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630v1 |
Quadratic twists by: -3 |