Atkin-Lehner |
2+ 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650h |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-331597464025000000 = -1 · 26 · 58 · 412 · 534 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,153349,15288198] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:3326:1] |
Generators of the group modulo torsion |
j |
25524109669264991/21222237697600 |
j-invariant |
L |
2.212112622823 |
L(r)(E,1)/r! |
Ω |
0.19699890947213 |
Real period |
R |
0.70181628164273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997680431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21730e2 |
Quadratic twists by: 5 |