Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970r |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-120461947589340 = -1 · 22 · 311 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6165,492561] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:690:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
3.2179297110577 |
L(r)(E,1)/r! |
Ω |
0.42249434537745 |
Real period |
R |
0.95206295253682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ch1 1530h1 |
Quadratic twists by: -3 -7 |