Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280be |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-18329041920000 = -1 · 213 · 3 · 54 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3304,-193680] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2450:1] |
Generators of the group modulo torsion |
j |
973536925031/4474863750 |
j-invariant |
L |
5.1863102886656 |
L(r)(E,1)/r! |
Ω |
0.34767951750053 |
Real period |
R |
0.74584639337875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910o1 |
Quadratic twists by: -4 |