Atkin-Lehner |
3+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70725h |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
434400 |
Modular degree for the optimal curve |
Δ |
-84409182421875 = -1 · 35 · 58 · 232 · 412 |
Discriminant |
Eigenvalues |
2 3+ 5- 5 0 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13708,764193] |
[a1,a2,a3,a4,a6] |
Generators |
[586:3071:8] |
Generators of the group modulo torsion |
j |
-729319198720/216087507 |
j-invariant |
L |
14.082849309103 |
L(r)(E,1)/r! |
Ω |
0.57490140578498 |
Real period |
R |
2.0413426787822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70725m1 |
Quadratic twists by: 5 |