Atkin-Lehner |
2+ 3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650k |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
19945312500 = 22 · 3 · 59 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-900,7500] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:130:1] |
Generators of the group modulo torsion |
j |
5168743489/1276500 |
j-invariant |
L |
4.106379929029 |
L(r)(E,1)/r! |
Ω |
1.1415619862121 |
Real period |
R |
0.44964487632915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998639433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bf1 |
Quadratic twists by: 5 |