Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700h |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-2104729200 = -1 · 24 · 32 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-378,3717] |
[a1,a2,a3,a4,a6] |
Generators |
[3:51:1] |
Generators of the group modulo torsion |
j |
-14972266240/5261823 |
j-invariant |
L |
4.1266632244517 |
L(r)(E,1)/r! |
Ω |
1.3832243461249 |
Real period |
R |
0.37292063612209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107100u1 35700bt1 |
Quadratic twists by: -3 5 |