Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100i |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
-1560926719007084800 = -1 · 28 · 52 · 76 · 735 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 5 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812255,288105270] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:29792:1] |
Generators of the group modulo torsion |
j |
-9260211765498878160/243894799844857 |
j-invariant |
L |
7.1006284711259 |
L(r)(E,1)/r! |
Ω |
0.26695656391867 |
Real period |
R |
4.4330735351111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100r1 |
Quadratic twists by: 5 |