Atkin-Lehner |
2- 3+ 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cc |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
60160 |
Modular degree for the optimal curve |
Δ |
-2741376000 = -1 · 210 · 3 · 53 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,302,1631] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-353:1] [25:147:1] |
Generators of the group modulo torsion |
j |
24363778699/21931008 |
j-invariant |
L |
13.01988367739 |
L(r)(E,1)/r! |
Ω |
0.93673330675071 |
Real period |
R |
0.34748107022891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350bh1 |
Quadratic twists by: 5 |