Cremona's table of elliptic curves

Curve 78400dn1

78400 = 26 · 52 · 72



Data for elliptic curve 78400dn1

Field Data Notes
Atkin-Lehner 2+ 5- 7+ Signs for the Atkin-Lehner involutions
Class 78400dn Isogeny class
Conductor 78400 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 967680 Modular degree for the optimal curve
Δ -5903156224000000000 = -1 · 219 · 59 · 78 Discriminant
Eigenvalues 2+  0 5- 7+ -3  5 -2  5 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-171500,-120050000] [a1,a2,a3,a4,a6]
j -189/2 j-invariant
L 1.221017205337 L(r)(E,1)/r!
Ω 0.10175143035367 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 78400ji1 2450bb1 78400do1 78400ee1 Quadratic twists by: -4 8 5 -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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