Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210s |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1807080000 = 26 · 3 · 54 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-331,953] |
[a1,a2,a3,a4,a6] |
Generators |
[1:24:1] |
Generators of the group modulo torsion |
j |
4011342040369/1807080000 |
j-invariant |
L |
5.7850851792737 |
L(r)(E,1)/r! |
Ω |
1.3342152479767 |
Real period |
R |
0.72265765563273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680cq1 36630s1 61050v1 |
Quadratic twists by: -4 -3 5 |