Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600bp |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
131088780000000000 = 211 · 311 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 -1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136875,8743750] |
[a1,a2,a3,a4,a6] |
Generators |
[-3182:4077:8] |
Generators of the group modulo torsion |
j |
19450850/8991 |
j-invariant |
L |
3.9178576440197 |
L(r)(E,1)/r! |
Ω |
0.29436271856443 |
Real period |
R |
6.6548129173336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22200i1 66600y1 |
Quadratic twists by: -3 5 |