Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175k |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-51405575 = -1 · 52 · 132 · 233 |
Discriminant |
Eigenvalues |
-1 -1 5+ 2 4 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42,346] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [1951:85228:1] |
Generators of the group modulo torsion |
j |
1936415/12167 |
j-invariant |
L |
6.6980604158465 |
L(r)(E,1)/r! |
Ω |
1.4492973476605 |
Real period |
R |
1.5405305260631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175n1 97175h1 |
Quadratic twists by: 5 13 |