Atkin-Lehner |
2- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7070h |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-54129687500 = -1 · 22 · 58 · 73 · 101 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 6 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1715,-29683] |
[a1,a2,a3,a4,a6] |
Generators |
[74:463:1] |
Generators of the group modulo torsion |
j |
-557868593162161/54129687500 |
j-invariant |
L |
7.2284551247409 |
L(r)(E,1)/r! |
Ω |
0.36890641187202 |
Real period |
R |
1.2246424316773 |
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 |
56560u1 63630l1 35350j1 49490m1 |
Quadratic twists by: -4 -3 5 -7 |