Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fb |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-737542968750 = -1 · 2 · 36 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,45897] |
[a1,a2,a3,a4,a6] |
Generators |
[862:8115:8] |
Generators of the group modulo torsion |
j |
-24137569/64750 |
j-invariant |
L |
11.164233305414 |
L(r)(E,1)/r! |
Ω |
0.79491035442434 |
Real period |
R |
3.5111611116298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950e1 23310s1 |
Quadratic twists by: -3 5 |