Atkin-Lehner |
2- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448q |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
790063611904 = 217 · 7 · 17 · 373 |
Discriminant |
Eigenvalues |
2- -3 1 7- -4 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3667,74002] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:326:1] [121:1184:1] |
Generators of the group modulo torsion |
j |
1331363033001/192886624 |
j-invariant |
L |
6.8541201067828 |
L(r)(E,1)/r! |
Ω |
0.85970336195375 |
Real period |
R |
0.66438809109997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8806a1 |
Quadratic twists by: -4 |